The Stability Condition and Energy Estimate for Nonstationary Problems of Coupled Electroelasticity

DOI10.1177/108128659700200204zbMath1001.74555OpenAlexW1993622508MaRDI QIDQ4528140

Roderick V. Nicholas Melnik

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1177/108128659700200204

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Electromagnetic effects in solid mechanics (74F15)

Related Items (8)

Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity. ⋮ A note on the class of weakly coupled problems of non-stationary piezoelectricity ⋮ Computational analysis of coupled physical fields in piezothermoelastic media. ⋮ Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory. ⋮ Convergence of the operator-difference scheme to generalized solutions of a coupled field theory problem ⋮ Modelling dynamics of piezoelectric solids in the two-dimensional case ⋮ Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations. ⋮ Numerical analysis of dynamic characteristics of coupled piezoelectric systems in acoustic media

Cites Work

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• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Equations of high frequency vibrations of thermopiezoelectric crystal plates
• Applied functional analysis. Applications to mathematical physics. Vol. 1
• Mixed variational principles in nonlinear electroelasticity

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