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Inna M. Gitman
Researcher at University of Sheffield
Publications - 44
Citations - 1234
Inna M. Gitman is an academic researcher from University of Sheffield. The author has contributed to research in topics: Representative elementary volume & Elasticity (economics). The author has an hindex of 11, co-authored 36 publications receiving 1065 citations. Previous affiliations of Inna M. Gitman include University of Manchester & Delft University of Technology.
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Representative volume: Existence and size determination
TL;DR: In this paper, the concept of representative volume element (RVE) is analyzed for elastic materials and the results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.
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Coupled-volume multi-scale modelling of quasi-brittle material
TL;DR: In this paper, a hierarchical multi-scale procedure is analyzed with respect to the macro-level mesh size and meso-level cell size dependency, and the results show no dependency on the macro level mesh size or meso level cell size in cases of linear-elasticity and hardening.
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Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity
TL;DR: In this paper, a new format of anisotropic gradient elasticity is formulated and implemented to simulate stress concentrations in cortical bone, which is validated numerically in tests with bone fractures in the longitudinal and the transversal directions.
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The Representative Volume Size in Static and Dynamic Micro-Macro Transitions
TL;DR: In this article, two homogenisation schemes (first-order or local, and secondorder or non-local) are employed in case second-order homogenization is applied, and it turns out that elastic behaviour at the micro-scale implies the appearance of secondorder space and time derivatives of macroscopic strain in an otherwise elastic constitutive equation.
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Quantification of stochastically stable representative volumes for random heterogeneous materials
TL;DR: In this article, a stochastic stability (DH-stability) concept is introduced to quantify the lower bound on the size of representative volume elements (RVEs) for random heterogeneous materials.