A continuous loading solution for spherical elastic-plastic waves of small amplitude

DOI10.1016/S0022-5096(98)90005-9zbMath0634.73021OpenAlexW2074977050MaRDI QIDQ1097072

P. C. Milne, L. W. Morland

Publication date: 1988

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/s0022-5096(98)90005-9

zbMATH Keywords

initial conditionsspherical cavityspherically symmetric solutionconstant wave speedscontinuous elastic-plastic interfacecontinuously increasing uniform pressureinfinite elastic-plastic mediuminverse procedurelinear wave function representationsnonlinear differential-difference systemparabolic work-hardeningsmall amplitude linearizationtwo simultaneous ordinary differential equations

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Waves in solid mechanics (74J99) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (2)

Termination of the starting problem of dynamic expansion of a spherical cavity in an infinite elastic-perfectly-plastic medium ⋮ A simple formula for dynamic spherical cavity expansion in a compressible elastic perfectly plastic material with large deformations

Cites Work

• Spherical elastic-plastic wave solutions
• Uniqueness of uniaxial elastic-plastic interface motions
• Initiation of spherical elastic-plastic boundaries due to loading at a spherical cavity
• Existence and uniqueness of spherically-symmetric elastic-plastic interface motions
• Existence and uniqueness of elastic-plastic interfaces
• The starting problem for spherical elastic-plastic waves of small amplitude
• Spherical wave propagation in elastic-plastic work-hardening materials
• PROPAGATION OF SPHERICAL PLASTIC-ELASTIC DISTURBANCES FROM AN EXPANDED CAVITY
• Existence and uniqueness of solutions to uni-axial elastic-plastic wave interactions

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