Impact-Induced Tensile Waves in a Rubberlike Material
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Publication:2783750
DOI10.1137/S0036139901388234zbMath1041.74010MaRDI QIDQ2783750
Publication date: 17 April 2002
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
kinetic relationsstress-strain curvephase transitionsnon-uniquenessill-posednessboundary-initial value problemone-dimensional bargenuine nonlinearity
Nonlinear elasticity (74B20) Shocks and related discontinuities in solid mechanics (74J40) Dynamics of phase boundaries in solids (74N20) Nonlinear waves in solid mechanics (74J30)
Related Items (14)
The propagation of impact-induced tensile waves in a kind of phase-transforming materials ⋮ Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials ⋮ On maximally dissipative shock waves in nonlinear elasticity ⋮ A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar ⋮ On the response of rubbers at high strain rates. I: Simple waves ⋮ On the response of rubbers at high strain rates. II: Shock waves ⋮ Dynamic enlargement of a hole in a sheet: crater formation and propagation of cylindrical shock waves ⋮ Global structure stability of impact-induced tensile waves in phase-transforming materials ⋮ Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation ⋮ On hysteretic response and stationary phase fronts in rubber ⋮ Propagation of a flat shock front in an elastic layer ⋮ Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material ⋮ Global Structure Stability for the Wave Catching-Up Phenomenon in a Prestressed Two-Material Bar ⋮ DRIVING FORCE AND KINETIC RELATIONS FOR SCALAR CONSERVATION LAWS
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