基于低维实验数据的三维本构理论发展
Development of three dimensional constitutive theories based on lower dimensional experimental data
AI总结：
本文通过最大化熵产率原理，基于不同能量存储与耗散选择，推导出多种三维本构模型，这些模型在一维下均简化为Burgers粘弹性模型。
摘要：
大多数已发展的描述物体行为的三维本构关系都是基于一维和二维实验进行关联的。通常被忽视的是，无穷多个这样的三维模型可能能够解释这些低维实验。最近，最大化熵产率的概念被用于基于存储能量和熵产率等选择来获得本构关系。在本文中，我们展示了物体存储能量和耗散能量的不同方式，这些方式满足最大化熵产率的要求，从而产生许多三维模型。所有这些模型在一维下都简化为Burgers提出的描述物体粘弹性行为的模型。
英文摘要：
Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments. What is usually lost sight of is the fact that infinity of such three dimensional models may be able to explain these experiments that are lower dimensional. Recently, the notion of maximization of the rate of entropy production has been used to obtain constitutive relations based on the choice of the stored energy and rate of entropy production, etc. In this paper we show different choices for the manner in which the body stores energy and dissipates energy and satisfies the requirement of maximization of the rate of entropy production that leads to many three dimensional models. All of these models, in one dimension, reduce to the model proposed by Burgers to describe the viscoelastic behavior of bodies.
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