On the mechanics of solids with a growing mass
On the mechanics of solids with a growing mass
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DOI：
10.1016/s0020-7683(02)00352-9
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发表时间：
2002-09-01
影响因子：
3.6
通讯作者：
Hoger, A
中科院分区：
文献类型：
--
作者：
Lubarda, VA;Hoger, A
提出了生物材料应力调制生长的一般本构理论，特别强调了伪弹性软活组织。在有限变形连续介质热力学框架内重新审视质量不断增长的固体力学的控制方程。将变形梯度乘法分解为其弹性部分和生长部分，用于研究各向同性、横观各向同性和正交各向异性生物材料的生长。在每种情况下都给出了生长的明确表示，部分变形梯度，这导致在应力调制生长过程的分析中产生有效的增量公式。对应于弹性应变能函数的选定形式导出瞬时弹性模量张量的矩形分量。提出了生长诱导拉伸比的应力相关演化方程的物理上有吸引力的结构。 (C) 2002 Elsevier Science Ltd. 保留所有权利。
A general constitutive theory of the stress-modulated growth of biomaterials is presented with a particular accent given to pseudo-elastic soft living tissues. The governing equations of the mechanics of solids with a growing mass are revisited within the framework of finite deformation continuum thermodynamics. The multiplicative decomposition of the deformation gradient into its elastic and growth parts is employed to study the growth of isotropic, transversely isotropic, and orthotropic biomaterials. An explicit representation of the growth, part of the deformation gradient is given in each case, which leads to an effective incremental formulation in the analysis of the stress-modulated growth process. The rectangular components of the instantaneous elastic moduli tensor are derived corresponding to selected forms of the elastic strain energy function. Physically appealing structures of the stress-dependent evolution equations for the growth induced stretch ratios are proposed. (C) 2002 Elsevier Science Ltd. All rights reserved.