On waves in slender elastic rods
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Publication:753542
DOI10.1007/BF00377978zbMath0716.73013MaRDI QIDQ753542
Daniel C. Newman, Bernard D. Coleman
Publication date: 1990
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
tensionsolitary wavesperiodic wavesneo-Hookean materialselliptic integrals of the third kindunidimensional theoryaxial motionslocal stretch influence
Related Items (12)
Weakly nonlinear long waves in a prestretched Blatz-Ko cylinder: solitary, kink and periodic waves ⋮ Solitary waves in an inhomogeneous rod composed of a general hyperelastic material ⋮ Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod ⋮ The scientific work of Bernard D. Coleman ⋮ Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves ⋮ Wave dispersion under finite deformation ⋮ Some nonlinear dispersive waves arising in compressible hyperelastic plates ⋮ On constructing the unique solution for the necking in a hyperelastic rod ⋮ Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. ⋮ Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods ⋮ Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations ⋮ Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod
Cites Work
- Necking and drawing in polymeric fibers under tension
- Existence and stability of necking deformations for nonlinearly elastic rods
- On the cold drawing of polymers
- Nonlinear elastic waves in rods
- Nonlinear Waves in a Rod: Results for Incompressible Elastic Materials
- Solitary waves on nonlinear elastic rods. I
- The mechanics of rubber elasticity
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