Some basic solutions for wave propagation in a rod exhibiting non-local elasticity

DOI10.1016/S0955-7997(00)00020-5zbMath0978.74039OpenAlexW1981765233MaRDI QIDQ1595077

George D. Manolis

Publication date: 7 February 2002

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(00)00020-5

zbMATH Keywords

Laplace transformfundamental solutionspoint forcestrain gradientlongitudinal wave propagationboundary element formulationnon-local elasticityone-dimensional rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary element methods applied to problems in solid mechanics (74S15) Linear waves in solid mechanics (74J05) Elastic materials (74B99)

Related Items (1)

A more general investigation for the longitudinal stress waves in microrods with initial stress

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• On the nonlocal aspects of the propagation of Love waves
• Vistas of nonlocal continuum physics
• Wave propagation, localization and dispersion in a gradient-dependent medium
• On first strain-gradient theories in linear elasticity
• Linear theory of nonlocal elasticity and dispersion of plane waves
• A FIRST ORDER SYSTEM SOLUTION FOR THE VECTOR WAVE EQUATION IN A RESTRICTED CLASS OF HETEROGENEOUS MEDIA
• Anti-plane shear Lamb's problem treated by gradient elasticity with surface energy.

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