A review of presentations and discussions of the workshop Computational mechanics of generalized continua and applications to materials with microstructure that was held in Catania 29–31 October 2015
Restricted accessResearch articleFirst published online September, 2017
A review of presentations and discussions of the workshop Computational mechanics of generalized continua and applications to materials with microstructure that was held in Catania 29–31 October 2015
A report on the workshop Computational mechanics of generalized continua and applications to materials with microstructure (Catania 29–31 October 2015) is provided. The constructive atmosphere that was present at the workshop in 2012 and the Euromech Colloquium in 2014, both in Cisterna di Latina, was repeated for this workshop in Catania. The objective of this meeting was to bring together experts within the CNRS International Associate Laboratory (LIA) Francois Cosserat–Tullio Levi Civita Coss & Vita in order to discuss topics of common interest. Particularly, the workshop was dedicated to the following projects of LIA: (i) computational mechanics of generalized continua; and (ii) nonlinearity and stability in continuous media. Also subjects related to the application of generalized continua to multiscale and smart materials were discussed. Approximately 25 Coss & Vita LIA members and other experts (mostly from France and Italy) gathered together, including PhD students and those students from the Scuola Superiore di Catania.
dell’IsolaFForestS.Second gradient and generalized continua. A workshop held on 12–16 March 2012 in Cisterna di Latina. ZAMM 2014; 94(5): 367–372.
2.
PlacidiLGiorgioIDella CorteAet al. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Math Mech Solids. Epub ahead print 1April2015. doi:10.1177/1081286515576948
3.
EremeyevVALebedevLPAltenbachH.Foundations of micropolar mechanics. Berlin and Heidelberg: Verlag Berlin Heidelberg: Springer, 2013.
4.
BertramA.The mechanics and thermodynamics of finite gradient elasticity and plasticity. Preprint, Otto–von–Guericke University Magdeburg, Germany, 2013.
5.
JaviliAMcBrideASteinmannP.Thermomechanics of solids with lower-dimensional energetics: On the importance of surface, interface, and curve structures at the nanoscale. A unifying review. Appl Mech Rev2013; 65(1): 010802-1-010802-31.
6.
LakesR.Experimental methods for study of Cosserat elastic solids and other generalized elastic continua. In: MühlhausHWileyJ (ed.) Continuum models for materials with micro-structure, Ch. 1. New York, 1995, 1–22.
7.
LieboldCMühlhausWH.Strain maps on statically bend (001) silicon microbeams using AFM-integrated Raman spectroscopy. Arch Appl Mech2015; 85(9-10): 1353–1362.
8.
LieboldCMüllerWH.Comparison of gradient elasticity models for the bending of micromaterials. Comput Mater Sci2016; 116: 52–61.
9.
LieboldCMüllerWH.Are microcontinuum field theories of elasticity amenable to experiments? A review of some recent results. Springer Proc Math Stat2015; 137: 255–278.
10.
LamDCCYangFChongCMet al. Experiments and theory in strain gradient elasticity. J Mech Phys Solids2003; 51: 1477–1508.
11.
AbaliBEWuCCMüllerWH.An energy-based method to determine material constants in nonlinear rheology with applications. Contin Mech Thermodyn. Epub ahead of print 27August2015. DOI: 10.1007/s00161-015-0472-z.
12.
LoggAMardalKAWellsGN. Automated solution of differential equations by the finite element method, the FEniCS book. In: Lecture notes in computational science and engineering. Volume 84. Berlin: Springer, 2011.
13.
AbaliBEMüllerWHEremeyevVA.“Strain gradient elasticity with geometric nonlinearities and its computational evaluation.”Mech Adv Mater Struc Mod Proc2015; 1–11.
14.
PlacidiLAndreausUCorteADet al. Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients. ZAMP2015; 66(6): 3699–3725.
15.
PlacidiLEl DhabaAR.Semi-inverse method à la Saint–Venant for two-dimensional linear isotropic homogeneous second gradient elasticity. Math Mech Solids Epub ahead of print 17December2015. doi:10.1177/1081286515616043.
16.
GodioMStefanouISabKet al. Dynamic finite element formulation for Cosserat elastic plates. Int J Numer Methods Eng2015; 101(13): 992–1018.
17.
GodioMStefanouISabKet al. Cosserat elastoplastic finite elements for masonry structures. Key Eng Mater2015; 624: 131–138.
YvonnetJBonnetG.A consistent nonlocal scheme based on filters for the homogenization of heterogeneous linear materials with non-separated scales. Int J Solids Struct2014; 51: 196–209.
20.
EringenAC.On nonlocal elasticity. Int J Eng Sci1972; 10: 233–248.
21.
YvonnetJBonnetG.Nonlocal/coarse graining homogenization of linear elastic media with non-separated scales using least-square polynomial filters. Int J Multiscale Comput Eng2014; 12(5): 375–395.
22.
TranVPGuilleminotJBrisardSet al. Stochastic modeling of mesoscopic elasticity random field. Mechanics Mater2016; 93: 1–12.
23.
ForestSSabK.Stress gradient continuum theory. Mech Res Commun2012; 40: 16–25.
24.
SabKLegollFForestS.Stress gradient elasticity theory: Existence and uniqueness of solution. J Elast2016; 123(2): 179–201.
25.
Papargyri–BeskouSGiannakopoulosAEBeskosDE.Static analysis of gradient elastic bars, beams, plates and shells. TOMECHJ2010; 4: 65–73.
26.
NiiranenJKhakaloSBalobanovVNiemiAH.Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems. Computer Methods in Applied Mechanics and Engineering. Epub ahead of print 25May2016.
BeirãoDaVeigaLHughesTJRKiendlJet al. A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS, Mathematical Models and Methods in Applied Sciences2015; 25(8): 1519–1551.
29.
GrecoLCuomoM.An implicit G1 multi patch B-spline interpolation for Kirchhoff–Love space rod. Comp Methods Appl Mech Eng2014; 269: 173–197.
30.
GrecoLCuomoM.An isogeometric implicit G1 mixed finite element for Kirchhoff space rods. Comp Methods Appl Mech Eng2016; 298: 325–349.
31.
GrecoLCuomoM.B-Spline interpolation of Kirchhoff–Love space rods. Comp Methods Appl Mech Eng2013; 256: 251–269.
32.
RedaHRahaliYGanghofferJFet al. Wave propagation in 3D viscoelastic auxetic and textile materials by homogenized continuum micropolar models. Compos Struct2016; 141: 328–345.
33.
RahaliYGodaIGanghofferJF.Numerical identification of classical and nonclassical moduli of 3D woven textiles and analysis of scale effects. Comp Struct2016; 135: 122–139.
34.
RahaliYGiorgioIGanghofferJFet al. Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices. Int J Eng Sci2015; 97: 148–172.
35.
dell’IsolaFAndreausUPlacidiL.At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola. Math Mech Solids2015; 20(8): 887–928.
36.
dell’IsolaFd’AgostinoMVMadeoAet al. Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: The case of standard bias extension test. J Elast2016; 122(2): 131–155.
37.
dell’IsolaFSteigmannD.A two-dimensional gradient-elasticity theory for woven fabrics. J Elast2015; 118(1): 113–125.
38.
GrecoLImpolloniaNCuomoM.A procedure for the static analysis of cable structures following elastic catenary theory. Int J Solid Struct2014; 51(7-8): 1521–1533.
39.
d’AgostinoMVGiorgioIGrecoLet al. Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements. Int J Solids Struct2015; 59: 1–17.
40.
dell’IsolaFDella CorteAGrecoLet al. Plane bias extension test for a continuum with two inextensible families of fibers: A variational treatment with Lagrange multipliers and a perturbation solution. Int J Solids Struct2015. doi: 10.1016/j.ijsolstr.2015.08.029.
41.
dell’IsolaFLekszyckiTPawlikowskiMet al. Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence. Z Angew Math Phys2015; 66(6): 3473–3498.
42.
CiancioDCarolICuomoM.Crack opening conditions at “corners nodes” in FE analysis with cracking along the mesh lines. Eng Fract Mech2007; 74(13): 1963–1982.
43.
PiolaG. The complete works of Gabrio Piola: Volume {I} – commented English translation. In: dell’IsolaFMaierGPeregoUet al. (eds) Advanced structured materials. Switzerland: Springer International Publishing, 2014.
44.
HarrisonPWiggersJLongAC.Normalisation of shear test data for rate-independent compressible fabrics. J Compos Mater2008; 42(22): 2315–2344.
45.
FerrettiMMadeoAdell’IsolaFet al. Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory. Z Angew Math Phys2014; 65(3): 587–612.
46.
HarrisonPHärtelF.Correction of “Evaluation of normalisation methods for uniaxial bias extension tests on engineering fabrics”. Compos Part A Appl Sci Manuf2015; submitted.
47.
HärtelFHarrisonP.Evaluation of normalisation methods for uniaxial bias extension tests on engineering fabrics. Compos Part A Appl Sci Manuf2014; 37(61-69): 309–326.
48.
MisraAPoorsolhjouyP.Granular micromechanics based micromorphic model predicts frequency band gaps. Continuum Mech Thermodyn2016; 28(1–2): 215–234.
MisraAPoorsolhjouyP.Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Math Mech Solids. Epub ahead of print 24March2015. DOI: 10.1177/1081286515576821.
51.
de BoerR. Theoretical poroelasticity - a new approach. Chaos Solit Fract2015; 25: 861–878.
52.
MisraAPoorsolhjouyP.Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. MEMOCS2015; 3(3): 285–308.
53.
MisraAPoorsolhjouyP.Elastic behavior of 2D grain packing modeled as micromorphic media based upon granular micromechanics. J Eng Mech. Epub ahead of print 14January2016. DOI: 10.1061/(ASCE)EM.1943-7889.0001060.
54.
StefanouISulemJ.Chemically induced compaction bands: Triggering conditions and band thickness. J Geophys Res: Solid Earth2014; 119(2), 880–899.
55.
RiceJR.On the stability of dilatant hardening for saturated rock masses. J Geophys Res1975; 80(11): 1531–1536.
56.
VardoulakisI.Dynamic stability analysis of undrained simple shear on water-saturated granular soils. Int J Rock Mech Mining Sci Geomech Abs1986; 23(5): 183.
57.
SulemJ.Bifurcation theory and localization phenomena. European Journal of Environmental and Civil Engineering2010; 14(8–9): 989–1009.
58.
SulemJStefanouIVeveakisE.Stability analysis of undrained adiabatic shearing of a rock layer with Cosserat microstructure. Granular Matter2011; 13(3): 261–268.
59.
VeveakisESulemJStefanouI.Modeling of fault gouges with Cosserat continuum mechanics: Influence of thermal pressurization and chemical decomposition as coseismic weakening mechanisms. J Struct Geo2012; 38: 254–264.
60.
VeveakisEStefanouISulemJ.Failure in shear bands for granular materials: Thermo-hydro-chemo-mechanical effects. Géotechnique Letters2013; 3(2): 31–36.
61.
Al ShaerADuhamelDSabKet al. Experimental settlement and dynamic behavior of a portion of ballasted railway track under high speed trains. J Sound Vib2008; 316(1-5): 211–233.
62.
JehelPCottereauR.On damping created by heterogeneous yielding in the numerical analysis of nonlinear reinforced concrete frame elements. Comput Struct2015; 154: 192–203.
63.
Le GuennecYCottereauRClouteauDet al. A coupling method for stochastic continuum models at different scales. Probabilist Eng Mech2014; 37: 138–147.
64.
BedfordADrumhellerDS.Theories of immiscible and structured mixtures. Int J Eng Sci1983; 21(8): 863–960.
65.
dell’IsolaFMadeoASeppecherP.Boundary conditions at fluid-permeable interfaces in porous media: A variational approach. Int J Solids Struct2009; 46(17): 3150–3164.
66.
SerpieriRRosatiL.Formulation of a finite deformation model for the dynamic response of open cell biphasic media. J Mech Phys Solids2011; 59: 841–862.
67.
SerpieriRTravascioF.General quantitative analysis of stress partitioning and boundary conditions in undrained biphasic porous media via a purely macroscopic and purely variational approach. Continuum Mech Thermodyn2016; 28(1-2): 235–261.
68.
SerpieriRTravascioFAsfourSet al. Variationally consistent derivation of the stress partitioning law in saturated porous media. Int J Solids Struct2015; 56: 235–247.
69.
LuYLekszyckiT.Modeling of an initial stage of bone fracture healing. Continuum Mech Thermodyn2015; 27(4-5): 851–859.
70.
AndreausUGiorgioILekszyckiT.A 2D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time. ZAMM2014; 94(12): 978–1000.
71.
LekszyckiTDell’IsolaF.A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials. ZAMM2012; 92(6): 426–444.
72.
FedericoSGrilloA.Elasticity and permeability of porous fibre-reinforced materials in large deformations. Mech Mater2012; 44: 58–71.
73.
GrilloAFedericoSWittumG.Growth, mass transfer, and remodeling in fiber-reinforced, multi-constituent materials. Int J Nonlin Mech2012; 47(2): 388–401.
74.
GrilloAWittumGTomicAet al. Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Math Mech Solids2015; 20(9): 1107–1129.
75.
GrilloAProhlRWittumG.A poroplastic model of structural reorganisation in porous media of biomechanical interest. Continuum Mech Thermodyn2016; 28(1-2): 579–601.
76.
EremeyevVARosiGNailiS.Surface/interfacial anti-plane waves in solids with surface energy. Mechanics Research Communications2016; 74: 8–13.
77.
LüdersW.Über die ausserung der elasticitat an stahlartigen eisenstaben und stahlstabe, und über eine beim biegen solcher stabe beobachtete molecularbewegung. Dinglers Polytech1860; J5: 18–22.
78.
MaziereMForestS.Strain gradient plasticity modeling and finite element simulation of lüders band formation and propagation. Continuum Mech Thermodyn2015; 27(1-2): 83–104.
79.
MaraisAMaziereMForestSet al. Identification of a strain-aging model accounting for Lüders behavior in a C-Mn steel. Philosophical Magazine2012; 92(28-30): 3589–3617.
80.
MaraisAMaziereMForestSet al. Influence of static strain aging on the cleavage fracture of a C-Mn steel. Eng Fract Mech2015; 141: 95–110.
81.
RiceJR.The localization of plastic deformation. Division of Engineering, Brown University, 1976.
82.
AltenbachHEremeyevVANaumenkoK.On the use of the first order shear deformation plate theory for the analysis of three-layer plates with thin soft core layer. ZAMM2015; 95: 1004–1011.
83.
EisenträgerJNaumenkoKAltenbachHet al. Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels. Int J Mech Sci2015; 96:163–171.
84.
NaumenkoKEremeyevVA.A layer-wise theory for laminated glass and photovoltaic panels. Composite Struct2014; 112: 283–291.
85.
EitnerUKajari–SchroederSKoentgesMet al. Thermal stress and strain of solar cells in photovoltaic modules. In: AltenbachHEremeyevVA (eds) Adv Struct Mat2011; 15: 453–468.
86.
CamiolaVDRomanoV.Hydrodynamical Model for Charge Transport in Graphene. J Stat Phys2014; 157: 1114–1137.
87.
RomanoVMajoranaACocoM.DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene. J Comp Phys2015; 302: 267–284.
88.
CuomoMContrafattoLGrecoL. A variational model based on isogeometric interpolation for the analysis of cracked bodies. Int J Eng Sci80: 173–188.
89.
GrecoLCuomoM.Consistent tangent operator for an exact Kirchhoff rod model. Continuum Mech Thermodyn2015; 27(4): 861–877.
RizziNLVaranoV.The effects of warping on the postbuckling behaviour of thin-walled structures. Thin Wall Struct2011; 49(9): 1091–1097.
92.
RutaGCVaranoVPignataroMet al. A beam model for the flexural– torsional buckling of thin-walled members with some applications. Thin Wall Struct2008; 46(7): 816–822.
