RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY

By Alexander Mielke, Tomás Roubícek. 2005

140 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9cb5173d9e4a2f79860866ef27dea11b7336ea32

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Alexander Mielke
2. Riccarda Rossi
3. Giuseppe Savar'e
4. Ulisse Stefanelli
5. Antonio Segatti
6. Giulio Schimperna
7. Sylvia Serfaty
8. Jean-Jacques Marigo

In Mechanical Engineering

1. Giuseppe Savar'e
2. Riccarda Rossi
3. Ulisse Stefanelli
4. Alexander Mielke

In Mechanics of Materials

1. Giuseppe Savar'e
2. Riccarda Rossi
3. Ulisse Stefanelli
4. Antonio Segatti
5. Giulio Schimperna
6. Alexander Mielke
7. Andreas Mainik
8. Jörn Mosler

Citations in the corpus

• A metric approach to a class of doubly nonlinear evolution equations and applications (2008, background): “Rate-independent models indeed occur, for instance, in elastoplasticity [19, 20, 24, 29–32], in damage [39], in the quasistatic evolution of fractures [21, 28], in shape memory alloys [38, 40, 41], and in several other contexts, see the survey [33] and the references therein.”
• BV SOLUTIONS AND VISCOSITY APPROXIMATIONS OF RATE-INDEPENDENT SYSTEMS ∗ (2009, unknown): “Published December 23, 2010.”
• WELL-POSEDNESS AND LONG-TIME BEHAVIOR FOR A CLASS OF DOUBLY NONLINEAR EQUATIONS (2006, background): “ions of convex functionals) and W′ is its derivative. Equations of the type of (1.1) stem in connection with phase change phenomena [14, 17, 23, 32, 46, 47], gas flow through porous media [68], damage [15, 16, 30, 31, 54], and, in the specific case α(λr) = α(r) for all λ > 0 and r ∈ R (which is how”