A new approach of graded damage modelling

DOI10.1177/1081286518810068zbMath1425.74046OpenAlexW2898655143MaRDI QIDQ5244349

Claude Stolz

Publication date: 20 November 2019

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286518810068

zbMATH Keywords

distance functionthick level setgraded damage

Mathematics Subject Classification ID

Theories of fracture and damage (74A45) Brittle damage (74R05)

Cites Work

• From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models
• Models, simulation, and experimental issues in structural mechanics
• Two-dimensional strain gradient damage modeling: a variational approach
• The variational approach to fracture
• Damage, gradient of damage and principle of virtual power
• A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
• A level set based model for damage growth: The thick level set approach
• Optimal approximations by piecewise smooth functions and associated variational problems
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Nonlocal Continuum Damage, Localization Instability and Convergence
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• A critical comparison of nonlocal and gradient-enhanced softening continua

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