A Continuous–Discontinuous Approach to Simulate Heat Transfer in Fractured Media

A macroscopic framework to model heat transfer in materials and composites, subjected to physical degradation, is proposed. The framework employs the partition of unity concept and captures the change from conduction-dominated transfer in the initial continuum state to convection and radiation-dominated transfer in the damaged state. The...

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

In this paper, three different approaches used to model strong discontinuities are studied: a new strong embedded discontinuity technique, designated as the discrete strong embedded discontinuity approach (DSDA), introduced in Dias-da-Costa et al. (Eng Fract Mech 76(9):1176–1201, 2009); the generalized finite element method, (GFEM), developed by...

p -Version error estimation for linear elasticity

An error estimator, formulated earlier for h-adaptive strategies, is extended for use in the p-version finite element analysis. The estimation of error is based on solving a series of local problems, based on patches consisting of elements surrounding each node, with prescribed homogeneous essential boundary conditions. Unlike the original...

Constitutive modelling of hyperelastic rubber-like materials

The simulation of rubber-like material behaviour by means of the finite element method has been described in this study. Proper material models were selected for the numerical description of static hyper-elasticity. The combinations of a continuum damage mechanics concept and a pseudo-elastic concept with Gao's elastic law were used to simulate...