Global Structure Stability for the Wave Catching-Up Phenomenon in a Prestressed Two-Material Bar

DOI10.1137/130920265zbMath1316.35175OpenAlexW2048062719MaRDI QIDQ5253651

De-Xing Kong, Shou-jun Huang, Hui-Hui Dai

Publication date: 27 May 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130920265

zbMATH Keywords

Riemann invariantswave catching-up phenomenonprestressmultiple reflections at the interface

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Nonlinear waves in solid mechanics (74J30) Hyperbolic conservation laws (35L65) Impact in solid mechanics (74M20) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

Two-dimensional nonlinear stress and displacement waves for a new class of constitutive equations

Cites Work

• Unnamed Item
• Unnamed Item
• A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar
• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• Finite-amplitude shear wave in pre-stressed thin elastomers
• Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
• Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint
• Elastic cloaking theory
• Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves
• Impact-Induced Tensile Waves in a Rubberlike Material
• Homogenization of a 1D nonlinear dynamical problem for periodic composites
• Hyperbolic systems of conservation laws II
• Effective wave propagation in a prestressed nonlinear elastic composite bar
• Effects of pre-stresses on the propagation of nonlinear surface waves in an incompressible elastic half-space
• Global structure stability of impact-induced tensile waves in a rubber-like material
• Nonlinear pre-stress for cloaking from antiplane elastic waves
• Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids
• Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar