Effective relations for nonlinear dynamics of cracked solids.

DOI10.1016/0022-5096(95)00059-3zbMath1054.74509OpenAlexW2031147867MaRDI QIDQ1586216

John R. Willis, Valery P. Smyshlyaev

Publication date: 13 November 2000

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

Full work available at URL: https://doi.org/10.1016/0022-5096(95)00059-3

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Micromechanical theories (74A60) Theories of fracture and damage (74A45)

Related Items (5)

Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks ⋮ The effects of crack face interaction on nonlinear wave propagation in microcracked media ⋮ The effects of friction between crack faces on nonlinear wave propagation in microcracked media ⋮ Friction in unconforming grain contacts as a mechanism for tensorial stress-strain hysteresis ⋮ Wave propagation in elastic media with cracks. II: Transient nonlinear response of a cracked matrix

Cites Work

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• General theory of the solutions of the equations of motion of an elastic medium of different moduli
• Variational principles for dynamic problems for inhomogeneous elastic media
• Longitudinal waves in an elastic medium with a piecewise-linear dependence of the stress on the strain
• Elastic moduli of a cracked solid
• Elastic moduli of a non-randomly cracked body
• Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks
• Linear and nonlinear scattering of elastic waves by microcracks
• Overall moduli of solids with microcracks: load-induced anisotropy

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