Preface: Special issues of Mathematics and Mechanics of Solids in honor of MM Carroll and in celebration of his 75th birthday

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References

J Carroll, MM , and Rivlin, RS Transverse electric and magnetic effects. Q Appl Math 1966; 23: 365-368.

Carroll, MM , and Rivlin, RS Electro-optical effects, I. J Math Phys 1967; 8: 2088-2091.

Carroll, MM , and Rivlin, RS Electro-optical effects, II. J Math Phys 1968; 9: 1701-1704.

Carroll, MM , and Rivlin, RS Electro-optical effects, III. J Math Phys 1968; 9: 2267-2278.

Carroll, MM On circularly-polarized nonlinear electromagnetic waves. Q Appl Math 1967; 25: 319-323.

Carroll, MM Plane waves of constant amplitude in nonlinear dielectrics. Phys Rev A 1972; 6: 1977-1980.

Carroll, MM Reflection and transmission of circularly polarized waves in nonlinear dielectrics . Appl Phys 1979; 19: 321-329.

Carroll, MM Controllable deformations of incompressible simple materials. Int J Eng Sci 1967; 5: 515-525.

Carroll, MM

Finite deformations of incompressible simple solids

I. Isotropic solids. Q J Mech Appl Math 1968; 21: 147-170.

10.

Carroll, MM Finite deformations of incompressible simple solids II. Transversely isotropic solids, Q J Mech Appl Math 1968; 21: 269-278.

11.

Carroll, MM Finite bending, stretching and shearing of a block of orthotropic, incompressible simple solid. J Appl Mech 1968; 35: 495-498.

12.

Carroll, MM Controllable motions of incompressible non-simple materials. Arch Ration Mech Anal 1969; 34: 128-142.

13.

Carroll, MM Creep at constant stress in isotropic solids. J Appl Mech 1971; 38: 847-851.

14.

Carroll, MM Controllable states of stress for compressible elastic solids. J Elasticity 1973; 3: 57-61.

15.

Carroll, MM Controllable states of stress for incompressible elastic solids. J Elasticity 1973; 3: 147-153.

16.

Carroll, MM , and Chien, CF Decay of reverberant sound in a spherical enclosure. J Acoust Soc Am 1977; 62: 1442-1446.

17.

Carroll, MM , and Miles, RN Steady-state sound in an enclosure with diffusely reflecting boundary. J Acoust Soc Am 1978; 64: 1424-1428.

18.

Carroll, MM , and Holt, AC Static and dynamic pore-collapse relations for ductile porous materials. J Appl Phys 1972; 43: 1626-1636.

19.

Carroll, MM , and Holt, AC Suggested modification of the P-α model for porous materials. J Appl Phys 1972; 43: 759-761.

20.

Carroll, MM , and Holt, AC Spherical model calculation for ductile porous materials. In: Modrý, S. (ed) Pore structure and properties of materials, Part 2. Prague: Academia, 1973, pp. D21-D31.

21.

Holt, AC , Carroll, MM , and Butcher, BM Application of a new theory for the pressure-induced collapse of pores in ductile materials. In: Modrý, S. (ed) Pore structure and properties of materials, Part 5 . Prague: Academia, 1974, pp. D63-D76.

22.

Bhatt, JJ , Carroll, MM , and Schatz, JF A spherical model calculation for volumetric response of porous rocks. J Appl Mech 1975 ; 42: 363-368.

23.

Curran, JH , and Carroll, MM Shear stress enhancement of void compaction . J Geophys Res 1979; 84: 1105-1112.

24.

Carroll, MM An effective stress law for anisotropic elastic deformation. J Geophys Res 1979; 84: 7510-7512.

25.

Carroll, MM Radial expansion of hollow spheres of elastic-plastic hardening material. Int J Solid Struct 1985 ; 21: 645-670.

26.

Carroll, MM A critical state plasticity theory for porous reservoir rock. In: Massoudi, M, and Rajagopal, KR. (eds) Recent advances in mechanics of structured continua, AMD Vol. 117. The American Society of Mechanical Engineers, New York: 1991, pp. 1-5.

27.

Carroll, MM , and Kim, KT Pressure-density equations for porous metals and metal powders. Powder Metall 1984; 27: 153-159.

28.

Kim, KT , and Carroll, MM Compaction equations for strain-hardening porous materials. Int J Plasticity 1987; 3: 63-73.

29.

Katsube, N. , and Carroll, MM The modified mixture theory for fluid-filled porous materials: Theory. J Appl Mech 1987 ; 54: 35-40.

30.

Katsube, N. , and Carroll, MM The modified mixture theory for fluid-filled porous materials: Applications. J Appl Mech 1987; 54: 41-46.

31.

Carroll, MM Compaction of dry or fluid-filled porous materials . J Eng Mech Div Am Soc Civ Eng 1980; 106: 969-990.

32.

Carroll, MM Mechanical response of fluid-saturated porous materials. In: Rimrott FPJ and Tabarrok B (eds) Proceedings of the 15th International Congress of Theoretical and Applied Mechanics. Amsterdam : North-Holland Publishing Co., 1980, pp. 251-262.

33.

Carroll, MM Micromodeling of void growth and collapse. In: Ericksen JL , Kinderlehrer D , Kohn R and Lions J-L (eds) Homogenization and effective moduli of materials and media. Springer, 1986, pp. 78-96.

34.

Carroll, MM Micromodeling of void growth and collapse . In: Hyer MW (ed) Mechanics of composite materials-nonlinear effects, AMD Vol. 159. The American Society of Mechanical Engineers, New York: 1993, pp. 359-373.

35.

Carroll, MM A rate-independent constitutive theory for finite inelastic deformation. J Appl Mech 1987; 54: 15-21.

36.

Carroll, MM Some results on finite amplitude elastic waves . Acta Mech 1967; 3: 167-181.

37.

Carroll, MM Plane waves in non-simple elastic solids. Int J Solid Struct 1969; 5: 109-116.

38.

Carroll, MM Plane elastic standing waves of finite amplitude . J Elasticity 1977; 7: 411-424.

39.

Carroll, MM Oscillatory shearing of nonlinearly elastic solids. J Appl Math Phys (ZAMP) 1974; 25: 83-88.

40.

Carroll, MM Plane circular shearing of incompressible fluids and solids. Q J Mech Appl Math 1977 ; 30: 223-234.

41.

Carroll, MM Finite amplitude standing waves in compressible elastic solids. J Elasticity 1978; 8: 323-328.

42.

Carroll, MM Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders. Q Appl Math 1987; 45: 141-154.

43.

Carroll, MM Finite deformations and motions of a pre-stressed incompressible elastic tube. Math Mech Solids 2009; 14: 681-695.

44.

Carroll, MM Finite strain solutions in compressible isotropic elasticity. J Elasticity 1988; 20: 65-92.

45.

Carroll, MM Controllable deformations for special classes of compressible elastic solids. Stab Appl Anal Continuous Media 1991; 1: 309-323.

46.

Carroll, MM Controllable deformations in compressible finite elasticity. Stab Appl Anal Continuous Media 1991; 1: 373-384.

47.

Carroll, MM Compressible isotropic strain energies that support universal irrotational finite deformations. Q J Mech Appl Math 2005 ; 58: 601-614.

48.

Carroll, MM , and Rooney, FJ Implications of Shield’s inverse deformation theorem for compressible finite elasticity. J Appl Math Phys (ZAMP) 2005; 56: 1048-1060.

49.

Rooney, FJ , and Carroll, MM Some exact solutions for a class of compressible non-linearly elastic materials . Int J Non Lin Mech 2007; 42: 321-329.

50.

Carroll, MM , and Horgan, CO Finite strain solutions for a compressible elastic solid. Q Appl Math 1990; 48: 767-780.

51.

Carroll, MM , and Murphy, JG Azimuthal shearing of special compressible materials. Proceedings of the Royal Irish Academy, Section A: Mathematical and Physical Sciences, 1993; 93A: 209-230.

52.

Carroll, MM , Murphy, JG , and Rooney, FJ Plane stress problems for compressible materials. Int J Solid Struct 1994; 31: 1597-1607.

53.

Carroll, MM On obtaining closed form solutions for compressible nonlinearly elastic materials . J Appl Math Phys (ZAMP) 1995; 46, Special issue: Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids: S126-S145.

54.

Carroll, MM Azimuthal shear in compressible finite elasticity. J Elasticity 2007; 88: 141-149.

55.

Carroll, MM Some universal deformations for a class of compressible elastic solids. Int J Non Lin Mech 2001; 36: 443-446.

56.

Carroll, MM Non-isochoric bending and shearing. Math Mech Solid 2005; 10: 691-703.

57.

Rajagopal, KR , and Carroll, MM Inhomogeneous deformations of non-linearly elastic wedges. Int J Solid Struct 1992; 29: 735-744.

58.

Erdemir, E. , and Carroll, MM Finite deformations and motions of radially inextensible hollow spheres. J Elasticity 2007; 88: 193-205.

59.

Horgan, CO Equilibrium solutions for compressible nonlinearly elastic materials. In: Fu YB and Ogden RW (eds) Nonlinear elasticity: theory and applications. Cambridge: Cambridge University Press, 2001, pp.135-159.

60.

Carroll, MM , and Naghdi, PM The influence of the reference geometry on the response of elastic shells. Arch Ration Mech Anal 1972; 48: 302-318.

61.

Carroll, MM A representation theorem for volume-preserving transformations. Int J Non Lin Mech 2004; 39: 219-224.

62.

Carroll, MM On generating isochoric finite deformations . J Elasticity 2007; 88: 1-4.

63.

Carroll, MM Derivatives of the rotation and stretch tensors . Math Mech Solids 2004; 9: 543-553.

64.

Agarwal, VK , and Carroll, MM Admissibility conditions on principal strain invariants. Acta Mech 2005; 177: 89-96.

65.

Carroll, MM On isotropic constraints. Int J Eng Sci 2009; 47: 1142-1148.

66.

Carroll, MM

Must elastic materials be hyperelastic?

Math Mech Solids 2009; 14: 369-376.

67.

Carroll, MM , and McCarthy, MF Conditions on the elastic strain-energy function . J Appl Math Phys (ZAMP) 1995; 46, Special Issue: Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids: S172-S184.

68.

Carroll, MM A strain energy function for vulcanized rubber . J Elasticity 2011; 103: 173-187.

69.

Carroll, MM Remarks on the strain energy function. Submitted for publication.

70.

Carroll, MM Assessment and regulation of baseball bat performance. In: O’Donoghue, PE , and Flavin, JN. (eds) Proceedings of the Symposium on Trends in the Application of Mathematics to Mechanics, Elsevier, 2000, pp. 17-26.

71.

Ashton-Miller, J. , Carroll, MM , Johnson, K. , Nathan, A. , Petr, T. , and Halpin, T. The BESR (ball exit speed ratio), 6 pp., National Collegiate Athletic Association (NCAA) Baseball Research Panel, http://paws.kettering.edu/~drussell/bats-new/besr/BESRWhitePaper.pdf (accessed 20 August 2010).

72.

Carroll, MM Proposed running track design for fairer 200 m and 400 m races. United States Patent No. 7,591,731. Issued 22 September 2009.

73.

Carroll, MM Approximations of projectile motion I: trajectories with quadratic resistance. Submitted for publication.

74.

Carroll, MM Approximations of projectile motion II: curves of safety with linear or quadratic resistance. Submitted for publication.

75.

Knops, RJ , and Payne, LE Uniqueness theorems in linear elasticity. Springer Tracts in Natural Philosophy, Vol.19. Berlin: Springer, 1971.

76.

Carroll, MM and Hayes, MA Preface. In: Carroll, MM and Hayes MA , (eds) Nonlinear effects in fluids and solids. New York and London: Plenum Press, 1996, pp. ix-xvi.

77.

Carroll, MM , and Hayes, MA In memory of Ronald S. Rivlin. Math Mech Solids 2006; 11: 103-112.

78.

Rajagopal, KR Conspectus of concepts of elasticity. Math Mech Solids 2011; In press.

79.

Casey, J. A remark on Cauchy-elasticity. Int J Non Lin Mech 2005; 40: 331-339.

80.

Yeih, W. , Koya, T. , and Mura, T. An inverse problem in elasticity with partially overprescribed boundary conditions, part I: theoretical approach. J Appl Mech 1993; 60: 595-600.