基本载荷作用下橡胶类材料的超弹性力学性能分析

摘要

基于有限变形的基本理论,对基本载荷作用下橡胶类材料的超弹性力学性能进行了分析.在高玉臣所提出的橡胶类材料的本构模型的基础上,给出了1种新的不可压缩超弹性应变能函数.引入参数α,当n=l且oα=l时,新模型转化为Mooney-Rivlin模型,而当n=l且α=0时,新模型转化为Neo-Hookean模型.利用新的本构关系对橡胶类材料在单轴拉伸以及受内压膨胀2种基本载荷作用下的超弹性力学性能进行了研究,分析了本构参数对单轴拉伸和内压膨胀的影响,指出本构参数n为材料的强化参数,橡胶圆管受内压膨胀时存在失稳现象,其稳定性不仅依赖于本构参数n而且与本构参数α相关.%Based on the finite deformation theory,analysis of hyper elastic mechanical property on rubber like materials under basic load has been proposed.A new constitutive model modified from Gao's second constitutive model has been introduced by utilizing the finite deformation theory.In the circumstance that material is incompressible,when and,the new constitutive relation may be simplified to Mooney-Rivlin model;when and,the new constitutive relation may be simplified to Neo-Hookean model.By utilizing the new constitutive relation,super elastic mechanical properties of the rubber materials has been researched under basic loads,which include the uniaxial tension and inflation under internal pressure.The influence of constitutive parameters has been analyzed,which has been pointed out that is the intensive parameter of the materials.Rubber tube has the phenomenon of instability under internal pressure.Its stability is not only dependent on the constitutive parameter but also related to the constitutive parameter α.