赵华,王敏杰,张磊,赵书德,段晓婷.聚氨酯弹性体粘弹本构建模[J].,2009,(4):512-517 |
聚氨酯弹性体粘弹本构建模 |
Viscoelasticity modeling of polyurethane elastomer |
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DOI:10.7511/dllgxb200904008 |
中文关键词: 聚氨酯弹性体 超弹建模 粘弹建模 应变能函数 |
英文关键词: polyurethane elastomer hyperelasticity modeling viscoelasticity modeling strain energy function |
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中文摘要: |
研究了聚氨酯弹性体材料在压缩变形时的率相关特性.根据不同压缩应变率下的响应特性,确定了材料的瞬态响应,利用多步松弛试验确定了材料平衡响应.通过瞬态响应和平衡响应研究材料瞬态模量和平衡模量之间的关系,发现随压缩应变其变化趋势是一致的,可利用最小二乘法确定两者的差值.用五项Mooney-Rivlin应变能函数分别对材料的瞬态响应和平衡响应建模,用Prony级数所表示的松弛函数建立线性粘弹模型.通过瞬态响应、平衡响应和单步松弛确定材料的松弛强度和松弛时间.将非线性超弹模型和线性粘弹模型相结合,建立了聚氨酯弹性体材料的非线性粘弹本构模型.通过对所建模型的数值解与试验结果的比较,证明所建立的非线性粘弹本构模型能很好地描述聚氨酯弹性体材料在压缩时的力学特性. |
英文摘要: |
The rate-dependence characteristics of polyurethane elastomer were investigated by compression tests. The instantaneous response and equilibrium response of the material which represents responses of infinitely fast loading and infinitely slow loading were determined through different strain-rate compression tests and multi-step-relaxation test respectively. The relation between instantaneous modulus and equilibrium modulus was studied and it is found that they are coincidently varied with compression strain, the least-square method was used to determine the difference. Five-term Mooney-Rivlin strain energy function was used to modeling instantaneous response and equilibrium response, and Prony series was employed as material relaxation function to describe linear viscoelasticity. Nonlinear viscoelasticity constituent model was founded by combined nonlinear hyperelasticity and linear viscoelasticity model. Numerical results obtained from nonlinear viscoelasticity constituent model are compared with the test results to verify the adequacy of the proposed model. |
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