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Overall properties of composites with physical non-linear discrete phase

机译：物理非线性离散相复合材料的整体性能

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The problem of constructing effective constitutive laws is solved for matrix composites with a physically non-linear discrete phase. The technique employed is a variant of the self-consistent method in which interaction between inclusions is described by disturbance of external field. The approach is based on generalization of the Eshelby's theorem. Use of a thermodynamic time scale leads to a reduction of this problem to the solution of four linear integral equations. This procedure presents the possibility of applying this averaging scheme to engineering problems of materials design. As an example the problem of designing artificial biocomposites is discussed. The material is modelled as a two-phase matrix composite with a brittle elastic matrix and visco-plastic inclusions. Dense hydroxyapatite is considered as the matrix material and recommended properties of the pastdificator are derived under the condition that material should possess the mechanical properties as close to the human cortical bone as possible. The elastic constants and the yield stress for plastificator are obtained as functions of the volume concentration of phases. The application of the method to the design of artificial bio-composites is discussed.
机译：解决了具有物理非线性离散相的基体复合材料的构造有效本构律的问题。所采用的技术是自洽方法的一种变体，其中夹杂物之间的相互作用通过外部场的干扰来描述。该方法基于Eshelby定理的推广。热力学时间标度的使用将这个问题简化为四个线性积分方程的解。该过程提供了将该平均方案应用于材料设计的工程问题的可能性。作为例子，讨论了设计人造生物复合材料的问题。该材料被建模为具有脆性弹性基体和粘塑性夹杂物的两相基体复合材料。致密的羟基磷灰石被认为是基质材料，并且在该材料应具有尽可能接近人类皮层骨的机械性能的条件下，可以得出推荐的去糊剂性能。获得了增塑剂的弹性常数和屈服应力，作为相的体积浓度的函数。讨论了该方法在人造生物复合材料设计中的应用。

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