A micromechanical analysis is offered for the prediction of the global behavior of biological tissues. The analysis is based on the isotropic–hyperelastic behavior of the individual constituents (Collagen and Elastin), their volume fractions, and takes into account their detailed interactions. The present analysis predicts the instantaneous tensors from which the effective current first tangent tensor is established, thus providing the overall anisotropic constitutive behavior of the composite and the resulting field distribution in the composite. This is in contradistinction with the macroanalysis in which the composite internal energy, which involves unknown functions that depend on several strain invariants, must be proposed. The offered micromechanical analysis forms a generalization to the finite strain high-fidelity generalized method of cells (HFGMC) based on the homogenization technique for periodic composites to the parametric finite strain. This involves an arbitrary discretization of the repeating unit-cell of the periodic composites. Results are given for the response of the human abdominal aorta, which consists of three layered tissues: intima, media, and adventitia, all of which are composed out of the Collagen and Elastin. The isotropic–hyperelastic constituents (Mooney–Rivlin and Yeoh) of the composites are calibrated by utilizing available experimental data which describe the response of the tissue. Validation of the results is performed by comparison of the predicted Cauchy stress and stretches with the experimental measurements. In addition, results are given in the form of Cauchy stress and deformation gradient field distributions in the constituents of several tissues.

提供了一种微观力学分析来预测生物组织的整体行为。该分析基于各个成分（胶原蛋白和弹性蛋白）的各向同性超弹性行为、它们的体积分数，并考虑了它们的详细相互作用。本分析预测瞬时张量，从中建立有效电流第一切线张量，从而提供复合材料的整体各向异性本构行为和复合材料中的所得场分布。这与宏观分析相反，在宏观分析中必须提出复合内能，其中涉及依赖于几个应变不变量的未知函数。所提供的微观力学分析形成了对有限应变高保真广义细胞法 (HFGMC) 的推广，该方法基于对参数化有限应变的周期性复合材料的均质化技术。这涉及周期性复合材料的重复晶胞的任意离散化。给出了人体腹主动脉的反应结果，腹主动脉由三层组织组成：内膜、中膜和外膜，所有这些组织都由胶原蛋白和弹性蛋白组成。复合材料的各向同性超弹性成分（Mooney-Rivlin 和 Yeoh）通过利用描述组织响应的可用实验数据进行校准。通过将预测的柯西应力和拉伸与实验测量值进行比较来验证结果。此外，