Concentration versus Oscillation Effects in Brittle Damage-Reference-Cited by-同舟云学术

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Concentration versus Oscillation Effects in Brittle Damage

Published:2020-10-11 Issue:9 Volume:74 Page:1803-1854
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm. Pure Appl. Math.

Author:

Babadjian Jean‐François¹,Iurlano Flaviana²,Rindler Filip³⁴

Affiliation:

1. Université Paris Saclay CNRS, Laboratoire de Mathématiques d'Orsay 91405 Orsay France

2. Sorbonne Université CNRS, Université de Paris Laboratoire Jacques‐Louis Lions F‐75005 Paris France

3. Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom

4. The Alan Turing Institute British Library 96 Euston Road London NW1 2DB United Kingdom

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21953

Reference45 articles.

1. Shape Optimization by the Homogenization Method

2. Existence of minimizers for non-quasiconvex functionals arising in optimal design

3. Damage and fracture evolution in brittle materials by shape optimization methods

4. Explicit optimal bounds on the elastic energy of a two‐phase composite in two space dimensions;Allaire G.;Quart. Appl. Math.,1993

5. Optimal bounds on the effective behavior of a mixture of two well‐ordered elastic materials;Allaire G.;Quart. Appl. Math.,1993

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1. Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy;Archive for Rational Mechanics and Analysis;2024-03-16

2. Perfect plasticity versus damage: an unstable interaction between irreversibility and Γ-convergence through variational evolutions;ESAIM: Control, Optimisation and Calculus of Variations;2024

3. Discrete Approximation of the Griffith Functional by Adaptive Finite Elements;SIAM Journal on Mathematical Analysis;2023-11-06

4. L’approche variationnelle de la rupture : un exemple de collaboration fructueuse entre mécaniciens et mathématiciens;Comptes Rendus. Mécanique;2023-02-28

5. SHAPE OPTIMIZATION OF LIGHT STRUCTURES AND THE VANISHING MASS CONJECTURE;DUKE MATH J;2023

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