On stability and postcritical behaviour of interactive tension cracks in brittle solids

DOI10.1007/BF01594115zbMath0463.73092MaRDI QIDQ1153752

S. H. Smith

Publication date: 1980

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

total potential energygeneral variational formulationgrwoth of interactive tension crackspostcritical behaviorstable and unstable crack growth patterns

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Bifurcation and buckling (74G60) Brittle damage (74R05) Variational principles of physics (49S05)

Related Items

Bifurcation and post-bifurcation analysis in plasticity and brittle fracture ⋮ Shape sensitivity of a plane crack front

Cites Work

• Unstable growth of thermally induced interacting cracks in brittle solids: Further results
• A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension cracks in brittle solids
• Unstable growth of tension cracks in brittle solids: stable and unstable bifurcations, snap-through, and imperfection sensitivity
• Stability of a system of interacting cracks
• Unstable growth of thermally induced interacting cracks in brittle solids
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