Optimal scaling in solids undergoing ductile fracture by crazing

DOI10.1007/s00205-015-0901-yzbMath1343.35226OpenAlexW830839178WikidataQ59965768 ScholiaQ59965768MaRDI QIDQ5962867

Michael Ortiz, Sergio Conti

Publication date: 25 February 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-015-0901-y

zbMATH Keywords

fracturecrazingfree-energy densityoptimal scalingstrain-gradient model

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Fractional derivatives and integrals (26A33) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity ⋮ Fractional strain-gradient plasticity ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys ⋮ Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism

Cites Work

• A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity
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• Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories
• An existence theory for nonlinear elasticity that allows for cavitation
• Optimal scaling in solids undergoing ductile fracture by void sheet formation
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Surface energy and microstructure in coherent phase transitions
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