One-dimensional pulse propagation in deformable dielectrics with internal state variables

DOI10.1007/BF00280032zbMath0562.73095OpenAlexW4232290835MaRDI QIDQ1057124

Matthew F. McCarthy

Publication date: 1984

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00280032

zbMATH Keywords

internal state variablesBernoulli equationacceleration waveweak shocksconcepts of modulate simple wave theorydeformable dielectricsHigh frequency disturbancesinfluence of the elastic nonlinearity and relaxation propertiesmodulated simple waveone-dimensional strain pulses of finite amplitude

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Electromagnetic effects in solid mechanics (74F15) Waves in solid mechanics (74J99)

Related Items (7)

Asymptotic solution of a non-linear wave motion in an electron plasma ⋮ On one-dimensional planar and nonplanar shock waves in a relaxing gas ⋮ On the decay of a sawtooth profile in nonequilibrium magnetogasdynamic flow ⋮ Propagation of rapid pulses through a two-phase mixture of gas and dust particles ⋮ IMPLODING CYLINDRICAL AND SPHERICAL SHOCK WAVES IN A NON-IDEAL MEDIUM ⋮ Nonlinear wave propagation in a hot-electron plasma ⋮ Decay of a saw-tooth profile in chemically reacting gases

Cites Work

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• One dimensional dynamic electromechanical constitutive relations of ferroelectric materials
• Thermodynamic influences on the propagation of waves in electroelastic materials
• High frequency, periodic disturbances in dissipative systems - I. Small amplitude, finite rate theory
• Large amplitude waves in stratified media: acoustic pulses
• An Asymptotic Theory for Oscillatory Non-linear Signals

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