Stability of homogeneous states with gradient damage models: size effects and shape effects in the three-dimensional setting
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Publication:1935585
DOI10.1007/s10659-012-9382-5zbMath1263.74046OpenAlexW2013055808MaRDI QIDQ1935585
Publication date: 18 February 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-012-9382-5
Variational inequalities (49J40) Variational methods involving nonlinear operators (47J30) Brittle fracture (74R10) Functions of bounded variation, generalizations (26A45)
Related Items (8)
Variational formulation and stability analysis of a three dimensional superelastic model for shape memory alloys ⋮ From gradient damage laws to Griffith's theory of crack propagation ⋮ An overview of the modelling of fracture by gradient damage models ⋮ A unified regularized variational cohesive fracture theory with directional energy decomposition ⋮ Energetic formulation for rate-independent processes: remarks on discontinuous evolutions with a simple example ⋮ How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework ⋮ Gradient damage models coupled with plasticity and nucleation of cohesive cracks ⋮ Gradient damage analysis of a cylinder under torsion: bifurcation and size effects
Cites Work
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- Hierarchy of one-dimensional models in nonlinear elasticity
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- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
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