A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation
2002 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 29, no 05-apr, 340-360 p.Article in journal (Refereed) Published
This paper presents a rate-independent elastoplastic constitutive model for (nearly) incompressible biological fiber-reinforced composite materials. The constitutive framework, based on multisurface plasticity, is suitable for describing the mechanical behavior of biological fiber-reinforced composites in finite elastic and plastic strain domains. A key point of the constitutive model is the use of slip systems, which determine the strongly anisotropic elastic and plastic behavior of biological fiber-reinforced composites. The multiplicative decomposition of the deformation gradient into elastic and plastic parts allows the introduction of an anisotropic Helmholtz free-energy function for determining the anisotropic response. We use the unconditionally stable backward-Euler method to integrate the flow rule and employ the commonly used elastic predictor/plastic corrector concept to update the plastic variables. This choice is expressed as an Eulerian vector update the Newton's type, which leads to a numerically stable and efficient material model. By means of a representative numerical simulations the performance of the proposed constitutive framework is investigated in detail.
Place, publisher, year, edition, pages
2002. Vol. 29, no 05-apr, 340-360 p.
biomechanics, soft tissue, elastoplasticity, anisotropy, finite element method, crystal plasticity, computation, framework
IdentifiersURN: urn:nbn:se:kth:diva-22057DOI: 10.1007/s00466-002-0347-6ISI: 000179330100008OAI: oai:DiVA.org:kth-22057DiVA: diva2:340755
QC 201005252010-08-102010-08-10Bibliographically approved