A continuous dependence result for one-dimensional nonlinear dielectrics
From MaRDI portal
Publication:1088513
DOI10.1016/0020-7225(87)90062-0zbMath0612.73116OpenAlexW2042870064MaRDI QIDQ1088513
Publication date: 1987
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(87)90062-0
free energy functioncontinuous dependencenonlinear deformable dielectricsone-dimensional boundary value problemsstatical solutions
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Electromagnetic effects in solid mechanics (74F15)
Cites Work
- Unnamed Item
- A continuous dependence result for a mixed boundary value problem in finite elastostatics
- Integral bounds on the strain energy for the traction problem in finite elasticity
- On the continuous dependence of solutions on data in finite thermoelastostatics
- Estimates for one-dimensional dynamical solutions in nonlinear dielectrics
- A bound on the strain energy for the traction problem in finite elasticity with localized non-zero surface data
- One-dimensional acceleration waves in deformable dielectrics with polarization gradients
- An integral bound on the strain energy for the traction problem in nonlinear elasticity with sufficiently small strains
- Sufficient conditions for continuous dependence in nonlinear hyperelasticity
- Integral estimates for the displacement and strain energy in nonlinear elasticity in terms of the body force
- An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements
- On continuous dependence in finite elasticity
