Topic
Representative elementary volume
About: Representative elementary volume is a research topic. Over the lifetime, 4105 publications have been published within this topic receiving 86863 citations.
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TL;DR: In this paper, the Gurson-Tvergaard-needleman (GTN) damage model was applied to the representative volume elements (RVE) simulations to describe the ductile damage occurring mostly in the softer ferritic phase.
159 citations
TL;DR: In this article, the fracture pattern in stressed bodies is defined through the minimization of a two-field pseudo-spatial-dependent functional, with a structure similar to that proposed by Bourdin-Francfort-Marigo (2000) as a regularized approximation of a parent free-discontinuity problem, but now considered as an autonomous model per se.
Abstract: The fracture pattern in stressed bodies is defined through the minimization of a two-field pseudo-spatial-dependent functional, with a structure similar to that proposed by Bourdin–Francfort–Marigo (2000) as a regularized approximation of a parent free-discontinuity problem, but now considered as an autonomous model per se. Here, this formulation is altered by combining it with structured deformation theory, to model that when the material microstructure is loosened and damaged, peculiar inelastic (structured) deformations may occur in the representative volume element at the price of surface energy consumption. This approach unifies various theories of failure because, by simply varying the form of the class for admissible structured deformations, different-in-type responses can be captured, incorporating the idea of cleavage, deviatoric, combined cleavage-deviatoric and masonry-like fractures. Remarkably, this latter formulation rigorously avoid material overlapping in the cracked zones. The model is numerically implemented using a standard finite-element discretization and adopts an alternate minimization algorithm, adding an inequality constraint to impose crack irreversibility (fixed crack model). Numerical experiments for some paradigmatic examples are presented and compared for various possible versions of the model.
158 citations
TL;DR: In this paper, a new three-dimensional quadratic interface finite element is developed to simulate damage by particle fracture and interface decohesion in composites by numerical simulation in three-dimensions of a representative volume element which reproduces the microstructure.
157 citations
TL;DR: In this article, the volume strain is defined as the trace of the finite strain tensor whose components are recorded in situ by means of a 2D video extensometer within a representative volume element situated at the center of the neck.
157 citations
TL;DR: In this article, a multi-scale representative volume element (RVE) is proposed for modeling the tensile behavior of carbon nanotube-reinforced composites, which integrates nanomechanics and continuum mechanics, thus bridging the length scales from the nano-through the mesoscale.
156 citations