Erscheint 6 Ausgaben pro Jahr
ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352
Indexed in
A MULTISCALE MICRO-CONTINUUM MODEL TO CAPTURE STRAIN LOCALIZATION IN COMPOSITE MATERIALS
ABSTRAKT
This paper presents a plasticity/damage formulation in the context of the physically based micro-continuum theory for multiphase materials described in a companion paper (see Vernerey, A physically-based micro-continuum theory, Mech. Adv. Mater. Struct., 2012). Based on a micro-structurally motivated decomposition of the deformation, the presented inelastic formulation is capable of characterizing the independent plastic/damage processes occurring in different phases (such as fiber or inclusions) and predicting the overall material behavior. The inelastic constitutive relation can thus be cast in a simple, physically motivated form, compared to conventional models. Such a formulation is thus very attractive for establishing a link between materials structure and properties. To illustrate the presented framework, we apply the micro-continuum model to the tensile failure of fiber-reinforced composite and compare it to a "brute force" approach in which the microstructure is explicitly modeled. We show that the model captures accurately the evolution of various features that cannot be calculated with conventional methods such as the independent stress, strain, and damage in the matrix and fibers and the fiber/matrix interface. Moreover, the existence of a size effect during failure is accounted for correctly.
-
Bazant, Z., Why continuum damage is nonlocal: Micromechanical arguments. DOI: 10.1061/(ASCE)0733-9399(1991)117:5(1070)
-
Bazant, Z. and Jirasek, M., Nonlocal integral formulations of plasticity and damage: Survey of progress. DOI: 10.1061/(ASCE)0733-9399(2002)128:11(1119)
-
Belytschko, T., Liu, W.K., and Moran, B., Nonlinear Finite Elements for Continua and Structures.
-
Cosserat, E. and Cosserat, F., Theorie des Corps Deformables. DOI: 10.1038/081067a0
-
Eringen, A.C., Microcontinuum Field Theories 1: Foundations and Solids.
-
Fleck, N.A. and Hutchinson, J.W., Strain gradient plasticity. DOI: 10.1016/S0065-2156(08)70388-0
-
Fleck, N.A. and Hutchinson, J.W., A reformulation of strain gradient plasticity. DOI: 10.1016/S0022-5096(01)00049-7
-
Fleck, N.A., Muller, G.M., Ashby, M.F., and Hutchinson, J.W., Strain gradient plasticity: Theory and experiment. DOI: 10.1016/0956-7151(94)90502-9
-
Forest, S., Homogenization methods and the mechanics of generalized continua. Part 2. DOI: 10.2298/TAM0229113F
-
Forest, S., Barbe, F., and Cailletaud, G., Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials. DOI: 10.1016/S0020-7683(99)00330-3
-
Forest, S., Pradel, F., and Sab, K., Asymptotic analysis of heterogeneous Cosserat media. DOI: 10.1016/S0020-7683(00)00295-X
-
Germain, P., The method of virtual power in continuum mechanics. Part 2: Microstrucure. DOI: 10.1137/0125053
-
Gonzalez, C. and Llorca, J., Multiscale modeling of fracture in fiber-reinforced composites. DOI: 10.1016/j.actamat.2006.05.007
-
Hao, S., Liu, W.K., Moran, B., Vernerey, F., and Olson, G.B., Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. DOI: 10.1016/j.cma.2003.12.026
-
Iatridis, J.C. and Gwynn, I., Mechanisms for mechanical damage in the intervertebral disc annulus fibrosus. DOI: 10.1016/j.jbiomech.2003.12.026
-
Lemaitre, J. and Chaboche, J.L., Mecanique des Materiaux Solides.
-
Olson, G.B., Beyond discovery: Design for a new material world. DOI: 10.1016/S0364-5916(01)00041-4
-
Saje, M., Pan, J., and Needlman, A., Void nucleation effects on shear localization in porous plastic solids. DOI: 10.1007/BF00017128
-
Vernerey, F.J., A physically-based micro-continuum theory.
-
Vernerey, F.J., Liu, W.K., and Moran, B., Multi-scale micromorphic theory for hierarchical materials. DOI: 10.1016/j.jmps.2007.04.008
-
Vernerey, F.J., Liu, W.K., Moran, B., and Olson, G., A micromorphic model for the multiple scale failure of heterogeneous materials. DOI: 10.1016/j.jmps.2007.09.008
-
Vernerey Franck J., Kabiri Mirmohammadreza, Adaptive concurrent multiscale model for fracture and crack propagation in heterogeneous media, Computer Methods in Applied Mechanics and Engineering, 276, 2014. Crossref