Modeling error and adaptivity in nonlinear continuum mechanics

Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics

The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

Springback Modeling in L-bending Process Using Continuum Damage Mechanics Concept

Springback is one of the most common and important issues in metal forming area. Due to the fact that springback depends on a variety of parameters, it is hard to predict. Hence, in this paper, the effect of continuum damage mechanics (CDM) on springback was investigated based on the Lemaitre isotropic unified damage law. Swift’s hardening law was employed to describe isotropic hardening behavi...

Stress Transfer Modeling in CNT Reinforced Composites using Continuum Mechanics (TECHNICAL NOTE)

Because of the substantial difference in stiffness between matrix and nanotube in CNT composite, the stress transfer between them controls their mechanical properties. This paper investigates the said issue, analytically and numerically, in axial load using representative volume element (RVE). The analytical model was established based on the modified Cox’s shear lag model with the use of some ...

Nonlinear Continuum Mechanics for Finite Element Analysis

Error Estimation and Adaptivity for Nonlinear Fe Analysis

An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no fl...