Solution of a Riemann problem for elasticity

DOI10.1007/BF00041150zbMath0755.73024MaRDI QIDQ1197270

Xabier Garaizar

Publication date: 16 January 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

functional equationsisotropichyperelasticumbilical pointsGodunov iterations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) First-order nonlinear hyperbolic equations (35L60)

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Cites Work

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• The numerical simulation of two-dimensional fluid flow with strong shocks
• Front tracking for gas dynamics
• Front tracking and two-dimensional Riemann problems
• Wave curves for the Riemann problem of plane waves in isotropic elastic solids
• A conservative Eulerian formulation of the equations for elastic flow
• Front tracking for hyperbolic systems
• Random choice solution of hyperbolic systems
• The small anisotropy formulation of elastic deformation
• An introduction to continuum mechanics
• Elementary interactions in quasi-linear hyperbolic systems
• Supersonic interface instabilities of accelerated surfaces and jets
• The Bifurcation of Tracked Scalar Waves
• Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery
• Shockless acceleration of thin plates modeled by a tracked random choice method
• Solutions in the large for nonlinear hyperbolic systems of equations