A relation between a dynamic fracture model and quasi-static evolution

Author:

Versieux Henrique

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference19 articles.

1. Ambrosio L. and Tortorelli V., Approximation of functionals depending on jumps by elliptic functionalsviaΓ-convergence.Commun. Pure Appl. Math.43(1990) 999–1036.

2. Bourdin B., Francfort G.A. and Marigo J.-J., Numerical experiments in revisited brittle fracture.J. Mech. Phys. Solids48(2000) 797–826.

3. Bourdin B., Larsen C.J. and Richardson C., A time-discrete model for dynamic fracture based on crack regularization.Int. J. Fracture168(2011) 133–143.

4. A. Braides,Γ-convergence for beginners. Vol. 22 ofOxford Lect. Ser. Math. Appl.Oxford University Press, Oxford (2002).

5. Chambolle A., A density result in two-dimensional linearized elasticity, and applications.Arch. Rational. Mech. Anal.167(2003) 211–233.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A phase‐field porous media fracture model based on homogenization theory;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-10-10

2. Numerical investigation of dynamic brittle fracture via gradient damage models;Advanced Modeling and Simulation in Engineering Sciences;2016-08-30

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