Evolutionary behavior of induced discontinuities behind one dimensional shock waves in nonlinear elastic materials

DOI10.1007/BF00041424zbMath0579.73019MaRDI QIDQ1067438

Peter J. Chen, Paul. B. Bailey

Publication date: 1985

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

differential equationshock wavesecond-order approximationdiscontinuitiesrelativefirst-order approximationcritical shock amplitudefield derivativesmagnitudes of the shock amplitudes

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Impact in solid mechanics (74M20)

Related Items

On one-dimensional planar and nonplanar shock waves in a relaxing gas ⋮ The evolutionary behaviour of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductors ⋮ IMPLODING CYLINDRICAL AND SPHERICAL SHOCK WAVES IN A NON-IDEAL MEDIUM ⋮ Calculation of shocks using solutions of systems of ordinary differential equations

Cites Work

• The growth of plane discontinuities propagating into a homogeneously deformed elastic material
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