Implicit time integration schemes that inherit the conservation laws of total energy, linear and angular momentum are considered for initial boundary-value problems in ®nite-deformation elastodynamics. Conserving schemes are constructed for general hyperelastic material models, both compressible and incompressible, and are formulated in a way that is independent of spatial discretization. Three...

Abstract We construct two-dimensional, two-phase random heterogeneous microstructures by stochastic simulation using the planar Boolean model, which is a collection of overlapping grains. The structures obtained are discretized finite elements. A Neo-Hooke law assumed for phases microstructure, and tension tests simulated ensembles microstructure samples. determine effective material parameters...

In this work, we propose a reliable and stable procedure to characterize anisotropic hyperelastic materials. For purpose, metaheuristic optimization method known as evolutionary strategies is used. The advantage of technique with respect traditional methods used for non-linear optimization, such the Levenberg–Marquardt Method, that algorithm oriented global problem, independent gradients allows...

This article presents a very detailed study on the mechanical characterization of highly nonlinear material, immature equine zona pellucida (ZP) membrane. The ZP is modeled as visco-hyperelastic soft matter. Arruda–Boyce constitutive equation and two-term Prony series are identified most suitable models for describing hyperelastic viscous components, respectively, ZP’s response. Material proper...

Blast wave induced a frequency spectrum and large deformation of the brain tissue. In this study, new material parameters for the brain material are determined from the experimental data pertaining to these large strain amplitudes and wide frequencies ranging (from 0.01 Hz to 10 MHz) using genetic algorithms. Both hyperelastic and viscoelastic behavior of the brain are implemented into 2D finit...

The arterial wall is a composite where the preferred orientation of collagen fibers induces anisotropy. Though the hyperelastic theories of fiber-reinforced composites reached a high level of sophistication and showed a reasonable correspondence with the available experimental data they are short of the failure description. Following the tradition of strength of materials the failure criteria a...