In memory of Prof. Hui-Hui Dai

Wang FF Steigmann DJ Dai HH. On a uniformly-valid asymptotic plate theory. Int J Non-Linear Mech 2019; 112: 117–125.

Wang FF Dai HH Giorgio I. Numerical solutions of incompressible clamped plates based on the uniformly-valid asymptotic plate theory. Math Mech Solids. Epub ahead of print 5 July 2022. DOI: 10.1177/10812865211025583.

Fu CB Cheng Z Wang T , et al. An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers. Math Mech Solids. Epub ahead of print 17 March 2022. DOI: 10.1177/10812865221083046.

Wang J Li ZF Jin ZL. Theoretical scheme on shape-programming of thin hyperelastic plates through differential growth. Math Mech Solids. Epub ahead of print 7 April 2022. DOI: 10.1177/10812865221089694.

Chen XY Pruchnicki E Dai HH , et al. A uniform framework for the dynamic behavior of linearized anisotropic elastic rods. Math Mech Solids 2022; 27: X–X.

Pruchnicki E Chen XY Dai HH. A new unidimensional model for a straight linear rod with double symmetric cross section: I—theory. Math Mech Solids 2022; 27: X–X.

Chen XY Dai HH Pruchnicki E. On a consistent rod theory for a linearized anisotropic elastic material I: asymptotic reduction method. Math Mech Solids 2021; 26: 217–229.

Bratov V Kaplunov J Lapatsin SN , et al. Elastodynamics of a coated half-space under a sliding contact. Math Mech Solids. Epub ahead of print 7 May 2022. DOI: 10.1177/10812865221094425.

Destrade M Saccomandi G. Plane-polarised finite-amplitude shear waves in deformed incompressible materials. Math Mech Solids. Epub ahead of print 7 April 2022. DOI: 10.1177/10812865221089588.

Zhu PP Zhong Z. Wave propagation in a non-linearly elastic bar with phase transformations. Math Mech Solids. Epub ahead of print 24 March 2022. DOI: 10.1177/10812865221082524.

Wang YZ Li ZY Golub MV , et al. Interfacial delamination induced unidirectional propagation of guided waves in multilayered media. Math Mech Solids. Epub ahead of print 29 April 2022. DOI: 10.1177/10812865221092680.

Prusa V Rajagopal KR Wineman A. Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Math Mech Solids. Epub ahead of print 24 March 2022. DOI: 10.1177/10812865221081519.

Yan K Wei PB Chu KJ , et al. Measurement of two-dimensional residual stress in nanocrystalline superelastic NiTi fabricated with pre-strain laser shock peening. Math Mech Solids. Epub ahead of print 2 May 2022. DOI: 10.1177/10812865221090589.

Liu RC Jin LS Cai ZX , et al. An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth. Math Mech Solids. Epub ahead of print 12 February 2022. DOI: 10.48550/arXiv.2202.06077.

Zhang Y Zhao YP. The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading. Math Mech Solids 2022; 27: X–X.

Wang M Jin LS Fu YB. Axisymmetric necking versus Treloar-Kearsley instability in a hyperelastic sheet under equibiaxial stretching. Math Mech Solids. Epub ahead of print 1 February 2022. DOI: 10.1177/10812865211072897.

Dai H-H Sachdev P-L (eds). Recent advances in differential equations: Pitman research notes in mathematics series. London: Addison Wesley Longman, 1998.

Li J-B Dai H-H. On the study of singular travelling wave equations: dynamical system approach (Mathematics monograph series 5). Beijing: Science Press, 2007.

Jeffrey A Dai H-H. Handbook of mathematical formulas and integrals. 4th ed. New York: Academic Press, Elsevier, 2008.

Jeffrey A Dai H-H. The variable coefficient version of Zakharov and Shabat’s method: with applications to the integration of variable coefficient nonlinear equations and to perturbed soliton equations. In: Engelbrecht J (ed.) Nonlinear waves in active media. Berlin: Springer, 1989, pp. 8–16.

Dai H-H. The inverse scattering transform for a variable-coefficient KdV equation. In: Dai H-H Sachdev PL (eds) Recent advances in differential equations. London: Addison Wesley Longman, 1998, pp. 87–100.

Dai H-H. Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material. In: Fu Y Ogden RW (eds) Nonlinear elasticity: theory and applications. Cambridge: Cambridge University Press, 2001, pp. 392–432.

Li Y-Y Dai H-H. A consistent dynamic finite-strain plate theory for incompressible hyperelastic materials. In: Altenbach H Pouget J Rousseau M , et al. (eds) Generalized models and non-classical approaches in complex materials 1: advanced structured materials, vol 89. Cham: Springer, 2018, pp. 487–504.

Jeffrey A Dai H-H. On the reflection of a solitary wave at a sloping beach: Analytical results. Wave Motion 1988; 10: 375–389.

Dai H-H Jeffrey A. Reflection of interface solitary waves at a slope. Wave Motion 1989; 11: 463–479.

Dai H-H Jeffrey A. The inverse scattering transforms for certain types of variable coefficient KdV equations. Phys Lett A 1989; 139: 369–372.

Jeffrey A Dai H-H. On the weak oblique reflection of solitary waves at a slope. Int J Non-Linear Mech 1989; 24: 415–424.

Jeffrey A Dai H-H. On the application of a generalized version of the dressing method to the integration of variable-coefficient KdV equations. Ricerche Mat 1990; 10: 433–455.

Dai H-H. On the general asymptotic expansions of K_v-transforms. Appl Anal 1992; 46: 157–174.

Dai H-H Naylor D. On an asymptotic expansion of Fourier integrals. Proc Roy Soc Lond A 1992; 436: 109–120.

Cohen H Dai H-H. Nonlinear axisymmetric waves in compressible hyperelastic rods: long finite amplitude waves. Acta Mech 1993; 100: 223–239.

Dai H-H. On the general asymptotic expansions of hv (1)-transform and related Bessel transforms. Analysis 1994; 14: 19–42.

Dai H-H Wong R. A uniform asymptotic expansion for the shear-wave front in a layer. Wave Motion 1994; 19: 293–308.

Dai H-H. On the asymptotic solution of a wave damping problem arising in inhomogeneous media. Appl Anal 1996; 60: 327–340.

Dai H-H. Uniform asymptotic analysis for waves in an incompressible elastic rod I: disturbances superimposed on an initially stress-free state. IMA J Appl Math 1997; 59: 245–260.

Dai H-H. Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Wave Motion 1998; 28: 367–381.

Dai H-H. Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mech 1998; 127: 193–207.

Dai H-H. Peakons and solitary shock waves in compressible hyperelastic rods. In: Proceedings of the international conference on nonlinear mechanics, ICNM, Shanghai, China, 17–20 August 1998. pp.620–621.

Dai H-H Pavlov M. Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. J Phys Soc Jpn 1998; 67: 3655–3657.

Huang D Zhao X Dai H-H. Invariant tori and chaotic streamlines in the ABC flow. Phys Lett A 1998; 237: 136–140.

Dai H-H. Exact solutions of a variable-coefficient KdV equation arising in a shallow water. J Phys Soc Jpn 1999; 68: 1854–1858.

Dai H-H Cai Z. Uniform asymptotic analysis for waves in an incompressible elastic rod II—disturbances superimposed on a pre-stressed state. IMA J Appl Math 1999; 62: 1–29.

Dai H-H Geng X. New finite-dimensional completely integrable systems associated with the sine-Gordon equation. J Phys Soc Jpn 1999; 68: 2878–2881.

Dai H-H Wu G. On thermal stress in a bituminous pavement: Analytic solutions and applications. ASME J Appl Mech 1999; 66: 714–719.

Dai H-H Zhao X. Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material: I—bifurcation of critical points and the non-singular case. Proc Roy Soc Lond A 1999; 455: 3845–3874.

Geng X-G Dai H-H. Nonlinearization of the 3 × 3 matrix eigenvalue problem related to coupled nonlinear Schrödinger equations. J Math Anal App 1999; 233: 26–55.

Rui B Dai H-H Wong R. Uniform asymptotic expansions of an inverse-Laplace-transform integral with applications to problems of wave propagation. Q J Mech Appl Math 1999; 52: 327–348.

Bi Q Dai H-H. Analysis of non-linear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance. J Sound Vib 2000; 233: 557–571.

Dai H-H Cai Z. Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod. Acta Mech 2000; 139: 201–230.

Dai H-H Dai S Huo Y. Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. Wave Motion 2000; 32: 93–111.

Dai H-H Huo Y. Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Proc Roy Soc Lond A 2000; 456: 331–363.

Dai H-H Geng X. On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions. J Math Phys 2000; 41: 7501–7509.

Geng X Dai H-H. Algebro-geometric solutions of (2 + 1)-dimensional coupled modified Kadomtsev-Petviashvili equations. J Math Phys 2000; 41: 337–348.

Dai H-H Bi Q. Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads. Q J Mech Appl Math 2001; 54: 39–56.

Dai H-H Kong D. Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials. Phys Lett A 2001; 289: 313–322.

Geng X Cao C Dai H-H. Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy. J Phys A Math Gen 2001; 34: 989–1004.

Pan K-L Dai H-H. Nonlocal elasticity and dislocation image force due to cracks. Arch Appl Mech 2001; 71: 16–22.

Zeng Y Dai H-H. Constructing the N-soliton solution for the mKdV equation through constrained flows. J Phys A 2001; 34: 657–663.

Dai H-H Huo Y. Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods. Acta Mech 2002; 157: 97–112.

Dai H-H Huo Y. Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Wave Motion 2002; 35: 55–69.

Dai H-H Geng X. Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions. Chaos Soliton Fract 2002; 14: 489–502.

Hill J-M Dai H-H. Nonlinear plane waves in finite deformable infinite Mooney elastic materials. J Elasticity 2002; 67: 71–80.

Zeng Y Dai H-H Song J. Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property. J Phys A 2002; 35: 1095–1108.

Zeng Y Zhu Y Xiao T , et al. Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies. Physica A 2002; 303: 321–338.

Dai H-H Geng X. Decomposition of a 2 + 1-dimensional Volterra type lattice and its quasi-periodic solutions. Chaos Soliton Fract 2003; 18: 1031–1044.

Dai H-H Geng X. Explicit solutions of the 2 + 1-dimensional modified Toda lattice through straightening out of the relativistic toda flows. J Phys Soc Jpn 2003; 72: 3063–3069.

Dai H-H Geng X. Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. Phys Lett A 2003; 317: 389–400.

Fan E Dai H-H. A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Comput Phys Commun 2003; 153: 17–30.

Geng X Dai H-H. Quasi-periodic solutions for some 2+1 -dimensional discrete models. Physica A 2003; 319: 270–294.

Geng X Dai H-H Cao C. Algebro: geometric constructions of the discrete Ablowitz–Ladik flows and applications. J Math Phys 2003; 44: 4573–4588.

Wang Y Yu G Dai H-H. Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. Wave Motion 2003; 37: 137–156.

Dai H-H. Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. C R Math 2004; 338: 981–984.

Dai H-H Fan E-G. Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation. Chaos Soliton Fract 2004; 22: 435–446.

Dai H-H Fan X. Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Math Mech Solids 2004; 9: 61–79.

Dai H-H Huang D Liu Z. Singular dynamics with application to singular waves in physical problems. J Phys Soc Jpn 2004; 73: 1151–1155.

Dai H-H Kong D. Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. IMA J Appl Math 2004; 69: 131–158.

Dai H-H Liu Z. Nonlinear traveling waves in a compressible Mooney-Rivlin rod: I—Long finite-amplitude waves. Acta Mech Sinica 2004; 20: 435–446.

Geng X Dai H-H. Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows. Chaos Soliton Fract 2004; 20: 311–321.

Wang Y Dai H-H Yu G. Nonlinear interaction of an elastic pulse with a frictional contact interface between two anisotropic dissimilar media. ASME J Vib Acoust 2004; 126: 108–117.

Wang Y Yu G Dai H-H . Addendum and corrigendum to “Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media.” Wave Motion 2004; 39: 275–278.

Dai H-H Li Y. The interaction of the ω-soliton and ω-cuspon of the Camassa-Holm equation. J Phys A 2005; 38: 685–694.

Cai Z Dai H-H. Phase transitions in a slender cylinder composed of an incompressible elastic material—II: analytical solutions for two boundary-value problems. Proc Roy Soc Lond A 2006; 462: 419–438.

Ciarlet P-G Dai H-H Zhang Q. Preface. J Comput Appl Math 2006; 190: 1–2.

Chen Z Shen L Dai H-H Gan Y. Recent efforts in modelling combined rate, size and thermal effects on single crystal strength. Rev Adv Mater Sci 2006; 13: 27–32.

Dai H-H Bi Q. On constructing the unique solution for the necking in a hyper-elastic rod. J Elasticity 2006; 82: 215–241.

Dai H-H Cai Z. Phase transitions in a slender cylinder composed of an incompressible elastic material—I: asymptotic model equation. Proc Roy Soc Lond A 2006; 462: 75–95.

Dai H-H Kong D. The propagation of impact-induced tensile waves in a kind of phase-transforming materials. J Comput Appl Math 2006; 190: 57–73.

Dai H-H Kong D-X. Global structure stability of impact-induced tensile waves in a rubber-like material. IMA J Appl Math 2006; 71: 14–33.

Dai H-H Kwek K Gao H , et al. On the Cauchy problem of the Camassa-Holm equation. Front Math China 2006; 1: 144–159.

Geng X Dai H-H. A hierarchy of new nonlinear differential-difference equations. J Phys Soc Jpn 2006; 75: 13002.

Cai Z Dai H-H. Analytical solutions for phase transitions in a slender elastic cylinder under non-deforming and other boundary conditions. Discrete Cont Dyn Syst: Ser B 2007; 7: 497–514.

Dai H-H Wang F. Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. C R Math 2007; 345: 55–58.

Dai H-H Wang F. On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. Int J Eng Sci 2007; 45: 951–967.

Geng X Dai H-H. Nonlinearization of the Lax pairs for discrete Ablowitz-Ladik hierarchy. J Math Anal App 2007; 327: 829–853.

Geng X Dai H-H Zhu J. Decomposition of the discrete Ablowitz-Ladik hierarchy. Stud Appl Math 2007; 118: 281–312.

Hill J-M Padukka N Dai H-H. Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. J Elasticity 2007; 86: 113–137.

Dai H-H Huo Y. Solitary waves in a slender tube composed of an incompressible nonlinear elastic material. Comput Math Appl 2008; 55: 620–635.

Dai H-H Hao Y Chen Z. On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. Int J Solids Struct 2008; 45: 2613–2628.

Dai H-H Wang F. Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: asymptotic solution and mechanism. Proc Roy Soc Lond A 2008; 464: 1587–1613.

Dai H-H Xu Z. Impact-induced wave patterns in a slender cylinder composed of a non-convex elastic material. AIP Conf Proc 2008; 1029: 77–91.

Fan E Dai H-H. A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies. Phys Lett A 2008; 372: 4578–4585.

Dai H-H Li J. Nonlinear travelling waves in a hyperelastic rod composed of a compressible Mooney-Rivlin material. Int J Non-linear Mech 2009; 44: 499–510.

Dai H-H Li Y Su T. Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. J Phys A 2009; 42: 55203.

Dai H-H Wang J. An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder. Int J Non-linear Mech 2009; 44: 229–239.

Dai H-H Wang J Chen Z. An analytical study of the instability of a superelastic shape memory alloy cylinder subject to practical boundary conditions. Smart Mater Struct 2009; 18: 24007.

Han D Dai H-H Qi L. Conditions for strong ellipticity of anisotropic elastic materials. J Elasticity 2009; 97: 1–13.

Peng X Dai H-H. Deltons, peakons and other traveling-wave solutions of a Camassa-Holm hierarchy. Phys Lett A 2009; 373: 2454–2460.

Qi L Dai H-H Han D. Conditions for strong ellipticity and M-eigenvalues. Front Math China 2009; 4: 349–364.

Su T Dai H-H Geng X. On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations. J Math Phys 2009; 50: 113507.

Dai H-H Kaplunov J Prikazchikov D-A. A long-wave model for the surface elastic wave in a coated half-space. Proc Roy Soc Lond A 2010; 466: 3097–3116.

Dai H-H Su T. The generalized dressing method with applications to the integration of variable-coefficient Toda equations. Proc Est Acad Sci 2010; 59: 93–98.

Dai H-H Wang F. Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile. SIAM J Appl Math 2010; 70: 2673–2692.

Dai H-H Wang J. Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. Int J Eng Sci 2010; 48: 1146–1163.

Su T Geng X Dai H-H. Algebro-geometric constructions of semi-discrete Chen-Lee-Liu equations. Phys Lett A 2010; 374: 3101–3111.

Wang F Dai H-H. Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle. IMA J Appl Math 2010; 75: 506–524.

Wang J Dai H-H. Phase transitions induced by extension in a slender SMA cylinder: Analytical solutions for the hysteresis loop based on a quasi-3D continuum model. Int J Plasticity 2010; 26: 467–487.

Chung K-W Ng K-T Dai H-H. Bifurcations in a boundary-value problem of a nonlinear model for stress-induced phase transitions. Int J Bifurcat Chaos 2011; 21: 3231–3247.

Dai H-H Peng X. Weakly nonlinear long waves in a prestretched Blatz-Ko cylinder: solitary, kink and periodic waves. Wave Motion 2011; 48: 761–772.

Dai H-H Song Z. Some analytical formulas for the equilibrium states of a swollen hydrogel shell. Soft Matter 2011; 7: 8473–8483.

Dai H-H Zhu X Chen Z. An analytical study on the post-peak structural response. ASME J Appl Mech 2011; 78: 44501.

Chen W Dai H-H. Waves in pre-stretched incompressible soft electroactive cylinders: exact solution. Acta Mech Solida Sin 2012; 25: 530–541.

Dai H-H Cai Z. An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. J Mech Phys Solids 2012; 60: 691–710.

Dai H-H Peng X. Elliptic-spline solutions for large localizations in a circular blatz-ko cylinder due to geometric softening. SIAM J Appl Math 2012; 72: 181–200.

Dai H-H Wang F. Analytical solutions for the post-buckling states of an incompressible hyperelastic layer. Anal App 2012; 10: 21–46.

Huang S Dai H-H Chen Z , et al. Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Proc R Soc A 2012; 468: 3882–3901.

Su T Dai H-H Geng X-G. On the application of a generalized version of the dressing method to the integration of variable coefficient N-coupled nonlinear Schrödinger equation. J Nonlinear Math Phys 2012; 19: 12500283.

Wang J Dai H-H. An internal-variable rod model for stress-induced phase transitions in a slender SMA layer—I: asymptotic equations and a two-phase solution. Mech Mater 2012; 45: 117–134.

Wang J Dai H-H. An internal-variable rod model for stress-induced phase transitions in a slender SMA layer—II: analytical solutions for the outer loop and inner loops. Mech Mater 2012; 45: 83–102.

Vallikivi M Salupere A Dai H-H. Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. Math Comput Simulat 2012; 82: 1348–1362.

Zhu X-W Dai H-H. Solution for a nonlocal elastic bar in tension. Sci China: Phys Mech Astro 2012; 55: 1059–1065.

Chen X Dai H-H. Asymptotic solutions and new insights for cylinder and core-shell polymer gels in a solvent. Soft Matter 2013; 36: 8664–8677.

Dai H-H Wang Y Wang F. Primary and secondary bifurcations of a compressible hyperelastic layer: asymptotic model equations and solutions. Int J Non-Linear Mech 2013; 52: 58–72.

Su T Dai H-H Geng X. A variable-coefficient Manakov model and its explicit solutions through the generalized dressing method. Chinese Phys Lett 2013; 30: 60201.

Song Z Dai H-H Sun Q. Propagation stresses in phase transitions of an SMA wire: New analytical formulas based on an internal-variable model. Int J Plasticity 2013; 42: 101–119.

Wang J Steinmann P Dai H-H. Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Meccanica 2013; 48: 943–970.

Dai H-H Liu Y. Critical thickness ratio for buckled and wrinkled fruits and vegetables. EPL 2014; 108: 44003.

Dai H-H Song Z. On a consistent finite-strain plate theory based on three-dimensional energy principle. Proc R Soc A 2014; 470: 20140494.

Geng X Zhai Y Dai H-H. Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Adv Math 2014; 263: 123–153.

Liu Y Dai H-H. Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes. Int J Eng Sci 2014; 80: 74–89.

Jiang J Xu Y Dai H-H. A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. J Comput Phys 2014; 258: 405–430.

Chen X Dai H-H. Swelling and instability of a gel annulus. Acta Mech Sinica 2015; 31: 627–636.

Dai D Dai H-H Yang T , et al. The selected works of Roderick S C Wong. Singapore City, Singapore: World Scientific, 2015.

Dai H-H Wang F Wang J , et al. Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: analytical post-bifurcation solutions and imperfection sensitivity. Math Mech Solids 2015; 20: 25–52.

Huang S Dai H-H Kong D. Global structure stability for the wave catching-up phenomenon in a prestressed two-material bar. SIAM J Appl Math 2015; 75: 585–604.

Ou X Han Q Dai H-H , et al. Molecular dynamic simulations of the water absorbency of hydrogels. J Mol Model 2015; 21: 231.

Song Z Dai H-H. Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. Int J Eng Sci 2015; 88: 40–63.

Wang Y-Z Dai H-H Chen W-Q. Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods. AIP Adv 2015; 5: 97167.

Wang Y-Z Zhang C-L Dai H-H , et al. Adjustable solitary waves in electroactive rods. J Sound Vib 2015; 355: 188–207.

Song Z Dai H-H. On a consistent dynamic finite-strain plate theory and its linearization. J Elasticity 2016; 125: 149–183.

Song Z Dai H-H. On a consistent finite-strain shell theory based on 3-D nonlinear elasticity. Int J Solids Struct 2016; 97–98: 137–149.

Su T Dai H-H Ding G. Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. Adv Differ Equ 2016; 2016: 1–14.

Wu F Dai H-H Kong D. Mechanism for the transition from a regular reflection to a mach reflection or a von Neumann reflection. Act Math Sci 2016; 36: 931–944.

Wang J Song Z Dai H-H. On a consistent finite-strain plate theory for incompressible hyperelastic materials. Int J Solids Struct 2016; 78–79: 101–109.

Wang Y-B Zhu X-W Dai H-H. Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model. AIP Adv 2016; 6: 85114.

Zhu P Dai H-H. Wave propagation in a shape memory alloy bar under an impulsive loading. ASME J Appl Mech 2016; 83: 104502.

Zhu P Feng P Sun Q , et al. Determining the up-down-up response through tension tests of a pre-twisted shape memory alloy tube. Int J Plasticity 2016; 85: 52–76.

Huang S Rajagopal K-R Dai H-H. Wave patterns in a nonclassic nonlinearly-elastic bar under Riemann data. Int J Non-Linear Mech 2017; 91: 76–85.

Liu H Wang J Dai H-H. Analytical study on stress-induced phase transitions in geometrically graded shape memory alloy layers—part I: asymptotic equation and analytical solutions. Mech Mater 2017; 112: 40–55.

Liu H Wang J Dai H-H. Analytical study on stress-induced phase transitions in geometrically graded shape memory alloy layers—part II: analyses on geometrical shapes, loading procedures and boundary conditions. Mech Mater 2017; 112: 114–128.

Su T Dai H-H. Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation. Math Probl Eng 2017; 2017: 2924947.

Zhu X Wang Y Dai H-H. Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. Int J Eng Sci 2017; 116: 130–140.

Chen X Song Z Dai H-H. Pointwise error estimate for a consistent beam theory. Anal App 2018; 16: 103–132.

Su T Dai H-H. A new integrable variable-coefficient 2 + 1-dimensional long wave-short wave equation and the generalized dressing method. Adv Math Phys 2018; 2018: 7286574.

Wang J Steigmann D Wang F , et al. On a consistent finite-strain plate theory of growth. J Mech Phys Solids 2018; 111: 184–214.

Wang J Wang Q Dai H-H. Stress-free bending of a neo-Hookean plate induced by growth: exact solution and experiments. Int J Non-Linear Mech 2018; 106: 280–287.

Yang Y Dai H-H Xu F , et al. Pattern transitions in a soft cylindrical shell. Phys Rev Lett 2018; 120: 215503.

Zhu P Dai H-H. Uniqueness condition for dynamical phase transitions in a shape memory alloy bar. Mech Res Commun 2018; 93: 169–173.

Chen X Dai H-H. An incremental plate theory for polymer gels in equilibrium. Mech Res Commun 2019; 96: 49–55.

Li Y Dai H-H Wang J. On a consistent finite-strain shell theory for incompressible hyperelastic materials. Math Mech Solids 2019; 24: 1320–1339.

Pruchnicki E Dai H-H. New refined models for curved beams in both linear and nonlinear settings. Math Mech Solids 2019; 24: 2295–2319.

Song Z Wang J Dai H-H. On a consistent dynamic finite-strain shell theory and its linearization. Math Mech Solids 2019; 24: 2335–2360.

Wang F Steigmann D-J Dai H-H. On a uniformly-valid asymptotic plate theory. Int J Non-Linear Mech 2019; 112: 117–125.

Wang J Wang Q Dai H-H , et al. Shape-programming of hyperelastic plates through differential growth: an analytical approach. Soft Matter 2019; 15: 2391–2399.

Chen X Dai H-H. Stress-free configurations induced by a family of locally incompatible growth functions. J Mech Phys Solids 2020; 137: 103834.

Ciarletta P Dai H-H Taffetani M. Elastic fingering of a bonded soft disc in traction: interplay of geometric and physical nonlinearities. SIAM J Appl Math 2020; 80: 690–705.

Du P Dai H-H Wang J , et al. Analytical study on growth-induced bending deformations of multi-layered hyperelastic plates. Int J Non-Linear Mech 2020; 119: 103370.

Liu Y Ma W-D Dai H-H. On a consistent finite-strain plate model of nematic liquid crystal elastomers. J Mech Phys Solids 2020; 145: 104169.

Yu X Fu Y-B Dai H-H. A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Proc R Soc A 2020; 476: 20200031.

Zhu P Dai H-H. On the derivation of an admissibility condition for phase boundary propagation in an SMA bar based on a 3-D formulation. Wave Motion 2020; 92: 102442.

Chen X Ciarletta P Dai H-H. Physical principles of morphogenesis in mushrooms. Phys Rev E 2021; 103: 022412.

Chen X Dai H-H. Stiffness distribution of a spherical gel structure and bifurcation analysis with application to stem-cell differentiation. Int J Non-Linear Mech 2021; 129: 103640.

Chen X Dai H-H Pruchnicki E. On a consistent rod theory for a linearized anisotropic elastic material: I—asymptotic reduction method. Math Mech Solids 2021; 26: 217–229.

Fu C Dai H-H Xu F. Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory. Comput Methods Appl Mech Eng 2021; 384: 113986.

Gu D Dai H-H Xu F. Buckling of an elastic layer based on implicit constitution: Incremental theory and numerical framework. Int J Eng Sci 2021; 169: 103568.

Gu D Fu C Dai H-H , et al. Asymptotic beam theory for non-classical elastic materials. Int J Mech Sci 2021; 189: 105950.

Liu Y Ma W-D Dai H-H. Bending-induced director reorientation of a nematic liquid crystal elastomer bonded to a hyperelastic substrate. J Appl Phys 2021; 129: 104701.

Yu X Fu Y-B Dai H-H. On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model. J Sound Vib 2021; 515: 116476.

Chen X Dai H-H Pruchnicki E. On a consistent rod theory for a linearized anisotropic elastic material II: verification and parametric study. Math Mech Solids 2022; 27: 687–710.

Wang F Dai H-H Giorgio I. A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Math Mech Solids. Epub ahead of print 5 July 2022. DOI: 10.1177/10812865211025583.