CAVITATED BIFURCATION FOR TWO-FAMILY FIBER-REINFORCED INCOMPRESSIBLE HYPER-ELASTIC MATERIALS
Cavitated bifurcation for the sudden formation of cavity in a solid two-family fiber-reinforced anisotropic incompressible hyper-elastic sphere subjected to a uniform radial tensile boundary dead load and the growth of a pre-existing cavity are studied.There exists a critical value for the load computing the differential equation between the cavity radius and the applied load.A cavity may form at the center of the sphere when the load is larger than this critical value.The bifurcation occurs locally to the left and the subsequent growth of the cavity is without bound.The stability of solutions is discussed through energy comparison.
fiber-reinforced anisotropic hyper-elastic material formation of cavity bifurcation critical load growth of cavity
J.S.Ren J.W.Zhou X.G.Yuan
Department of Mechanics,Shanghai University,Shanghai 200444,China College of Science,Dalian Nationalities University,Liaoning Dalian 116600,China
国际会议
The Third International Conference on Heterogeneous Material Mechanics(第三届国际非均匀材料力学会议)
上海
英文
1047-1050
2011-05-22(万方平台首次上网日期,不代表论文的发表时间)