A dynamic model for viscoelasticity in domains with time-dependent cracks

DOI10.1007/S00030-021-00729-0zbMath1476.35138arXiv2006.02132OpenAlexW3034150087MaRDI QIDQ2241309

Francesco Sapio

Publication date: 8 November 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02132

zbMATH Keywords

elastodynamicsviscoelasticitydynamic fracture mechanicslinear hyperbolic systemscracking domains

Mathematics Subject Classification ID

Brittle fracture (74R10) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Moving boundary problems for PDEs (35R37) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Dynamic crack growth in viscoelastic materials with memory ⋮ An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains ⋮ Quasistatic limit of a dynamic viscoelastic model with memory

Cites Work

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• Linear hyperbolic systems in domains with growing cracks
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• The Wave Equation on Domains with Cracks Growing on a Prescribed Path: Existence, Uniqueness, and Continuous Dependence on the Data

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