Coexistent phase mixtures in the anti-plane shear of an elastic tube

DOI10.1007/BF00943502zbMath0816.73075OpenAlexW2160662610MaRDI QIDQ1328419

Ying Zhang, Roger L. Fosdick

Publication date: 6 July 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00943502

zbMATH Keywords

energy functionalfree boundary problemminimalization problemnon-convex stored energy function

Mathematics Subject Classification ID

Related Items (4)

Damage as a material phase transition ⋮ Stress-induced phase transformations of an isotropic incompressible elastic body subject to a triaxial stress state ⋮ Description of liquid-gas phase transition in the frame of continuum mechanics ⋮ Phase Transformations in Isotropic Elastic Materials Induced by Shear Stress States

Cites Work

• The torsion problem for a nonconvex stored energy function
• Helical shear of an elastic, circular tube with a non-convex stored energy
• Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
• Discontinuous deformation gradients away from the tip of a crack in anti- plane shear
• Transverse deformations associated with rectilinear shear in elastic solids
• A nonconvex variational problem related to change of phase
• COMBINED AXIAL AND TORSIONAL SHEAR OF A TUBE OF INCOMPRESSIBLE ISOTROPIC ELASTIC MATERIAL
• Rectilinear steady flow of simple fluids
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure

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