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CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL 被引量:3

CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL
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摘要 The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead-loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre-existing micro-void is also observed. The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead-loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre-existing micro-void is also observed.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第8期881-888,共8页 应用数学和力学(英文版)
基金 theNationalNaturalScienceFoundationofChina ( 1 980 2 0 2 1 )
关键词 incompressible hyperelastic material void nucleation and growth catastrophe and concentration of stress incompressible hyperelastic material void nucleation and growth catastrophe and concentration of stress
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