Based on the micromorphic theory, a novel mathematical formulation for the mechanical modeling of material growth and remodeling processes in finite deformation is developed. These two processes have an important significance in evolution of living tissues. The presented formulation incorporates both the volumetric growth and mass flux phenomena into the modeling with the aid of the micromorphic theory’s capability to include internal structures in materials. The balance equation of microinertia is presented which reveals the importance of rearrangement and alteration of microstructure in the micromorphic material growth. Within the framework of material uniformity, the evolution laws are derived in terms of first-order differential equations for a set of material transplants which satisfy the formal restrictions arising from micromorphic material symmetries, and are consistent with the second law of thermodynamics. The set of the micromorphic Eshelby and Mandel stress tensors as driving forces for the local rearrangement of material inhomogeneities is also determined.

基于微晶理论，为材料在有限变形中的生长和重塑过程的机械模型开发了一种新颖的数学公式。这两个过程在生物组织的进化中具有重要意义。提出的配方借助微晶理论将材料内部结构包括在内的能力，将体积增长和质量通量现象都纳入了模型。提出了微惯性的平衡方程，揭示了微结构材料生长中微结构的重排和改变的重要性。在物质统一的框架内，演化规律是根据一组材料移植物的一阶微分方程推导的，这些材料移植物满足因微晶态材料对称性引起的形式限制，并且与热力学第二定律一致。还确定了微形Eshelby和Mandel应力张量的集合，作为材料不均匀性局部重排的驱动力。