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首页> 外文期刊>International Journal of Solids and Structures >A model for the nonlinear viscoelastic response in polymers at finite strains
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A model for the nonlinear viscoelastic response in polymers at finite strains

机译:聚合物在有限应变下的非线性粘弹性响应模型

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New constitutive equations are derived for viscoelastic media which do not possess the separability property. The model extends the concept of transient polymeric networks by assuming the rates of breakage and reformation of adaptive links to depend on strain energy density. This permits mechanically induced aging/rejuvenation of polymers to be described. To verify the constitutive relations, we use experimental data obtained in tensile relaxation tests for poly(methyl methacrylate) and polycarbonale, in shear relaxation tests for poly(methyl methacrylate) and an epoxy glass, and in tensile tests with constant rate of strains for ethylene-butene and ethylene-octene copolymers, poly(ethylene terephthalate), and polycarbonate at strains up to 300 per cent. The model provides fair agreement between observations and their predictions. As an example of inhomogeneous deformations, we analyze inflation of a thick-walled viscoelastic spherical vessel under the action of internal pressure. The effect of material parameters on stresses and displacements is studied numerically. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 56]
机译:推导了不具有可分离性的粘弹性介质的新本构方程。该模型通过假设断裂速率和自适应链路的重新形成取决于应变能密度,扩展了瞬态聚合物网络的概念。这允许对聚合物进行机械诱导的老化/活化。为了验证本构关系,我们使用在聚甲基丙烯酸甲酯和聚碳酸酯的拉伸松弛试验,在聚甲基丙烯酸甲酯和环氧玻璃的剪切松弛试验中以及在乙烯具有恒定应变速率的拉伸试验中获得的实验数据。 -丁烯和乙烯-辛烯共聚物,聚对苯二甲酸乙二酯和聚碳酸酯的应变高达300%。该模型在观察值和预测值之间提供了合理的一致性。作为非均匀变形的一个例子,我们分析了在内压作用下厚壁粘弹性球形容器的膨胀。数值研究了材料参数对应力和位移的影响。 (C)1998 Elsevier ScienceLtd。保留所有权利。 [参考:56]

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