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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >A CONSTITUTIVE EQUATION FOR LINEAR VISCOELASTIC THERMOSET MATERIALS UNDERGOING COMPRESSION
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A CONSTITUTIVE EQUATION FOR LINEAR VISCOELASTIC THERMOSET MATERIALS UNDERGOING COMPRESSION

机译：线性粘弹性热压材料的本构方程。

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摘要

A constitutive equation for linear viscoelasticity is presented. The equation is formulated using a Variable-Order (VO) integro-differential operator, in which the order of the derivative q(t*) is allowed to be a function of the dependent or independent variables. We propose a relationship in which the stress is related to the q-th derivative of strain, where q(t~*) and the normalized time t~* characterize the viscoelastic response of the material. We assume that the function q(t~*) is a measure of the rate of change of disorder within the material and develop a statistical mechanical model. The resulting model correlates well with experimental results for strain rate values varying over eight orders of magnitude. Using experimental data for a carbon/epoxy composite and an epoxy resin undergoing constant rate compression in the linear range, we derive a semi-empirical functional relationship with the normalized time that is used in a VO constitutive equation to model the viscoelastic deformation in time. The resulting dimensionless constitutive equation requires a much smaller number of empirically determined coefficients to adequately represent the data.
机译：提出了线性粘弹性的本构方程。该方程式是使用可变阶（VO）积分微分算子公式化的，其中，导数q（t *）的阶数是因变量或自变量的函数。我们提出一种关系，其中应力与应变的q阶导数相关，其中q（t〜*）和归一化时间t〜*表征了材料的粘弹性响应。我们假设函数q（t〜*）是材料内无序变化率的量度，并建立了统计力学模型。所得模型与应变率值在八个数量级以上变化的实验结果紧密相关。使用碳/环氧树脂复合材料和环氧树脂在线性范围内进行恒速压缩的实验数据，我们得出了归一化时间的半经验函数关系，该关系在VO本构方程中用于建模粘弹性变形。所得的无量纲本构方程需要较少数量的凭经验确定的系数来充分表示数据。

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