A plane-stress plasticity model for masonry for the explicit finite element time integration scheme

Masonry is a composite material and can be considered anisotropic on a macroscopic scale, i.e., masonry exhibits different properties in different directions, both in the elastic and inelastic range. Like other quasi-brittle materials, masonry exhibits softening and hardening behavior after failure for compression and tension. In this paper a smeared continuum plasticity model of masonry is presented as well as it numerical implementation in an explicit finite element time integration scheme, as such a material model does not exist for a commercial explicit finite element solver. The implementation is done by writing a user-defined material model (VUMAT) as a Fortran subroutine in the commercial software ABAQUS Explicit. The material model is tested both in uniaxial and biaxial loading against similar tests from earlier research. The results show good agreement with earlier research.

A hyper-elastic thermal aging constitutive model for rubber-like materials

Different phenomenological, empirical, and micromechanical constitutive models have been proposed to describe the behavior of incompressible isotropic hyper-elastic materials. Among these models, very few have accounted for the thermal aging effect on the model constants and parameters. This article introduces a new empirical constitutive hyper-elastic model for thermally aged hyper-elastic materials. The model named “the weight function based (WFB) model” considers the effect of aging temperature and time on its parameters. The WFB model formulation can facilitate fatigue analysis and lifetime prediction of rubber-like materials under aging conditions. The WFB model in this article defines all rubber-like material properties, such as fracture stretch, strength, and stiffness, by predicting the full stress–strain curve at any aging time and temperature. The WFB model was tested on natural rubber for uniaxial and biaxial loading conditions. More than 100 specimens were aged and tested uniaxially under various temperatures and aging times to extract the stress–strain behavior. The temperatures used in the test ranged from 76.7°C to 115.5°C, and the aging time ranged from 0 to 600 hours (hrs). A classical bulge test experiment was generated to extract the biaxial natural rubber material behavior. An ABAQUS finite element analysis model was created to simulate and verify the generated biaxial stress–strain curve. The proposed model represents the aging effect on the tested natural rubber under uniaxial and biaxial loading conditions with an acceptable error margin of less than 10% compared to experimental data.