General and exact theory of waves in finite elastic strain
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Publication:1131333
DOI10.1007/BF00277444zbMath0111.37703OpenAlexW4255963356MaRDI QIDQ1131333
Publication date: 1961
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00277444
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Cites Work
- A mathematical theory of the mechanical behavior of continuous media
- The constitutive equations for certain classes of deformations
- On the thermostatics of continuous media
- Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
- Das ungelöste Hauptproblem der endlichen Elastizitätstheorie
- Second-Order Elastic Deformation of Solids
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
