Zysset P K, Curnier A
Laboratory of Applied Mechanics, Swiss Federal Institute of Technology, Lausanne, Switzerland.
J Biomech. 1996 Dec;29(12):1549-58.
Motivated by the role of damage in normal and pathological conditions of trabecular bone, a novel 3D constitutive law was developed that describes anisotropic elasticity and the rate-independent degradation in mechanical properties resulting from the growth of cracks or voids in the trabecular tissue. The theoretical model was formulated within the framework of continuum damage mechanics and based on two fabric tensors characterizing the local trabecular morphology. Experimental validation of the model was achieved by uniaxial and torsional testing of waisted bovine trabecular bone specimens. Strong correlations were found between cumulated permanent strain, reduction in elastic moduli and nonlinear postyield stress, which support the hypothesis that these variables reflect the same underlying damage process.
受小梁骨正常和病理状态下损伤作用的启发，开发了一种新的三维本构定律，该定律描述了各向异性弹性以及小梁组织中裂纹或孔隙生长导致的力学性能与速率无关的退化。该理论模型是在连续损伤力学框架内建立的，基于两个表征局部小梁形态的结构张量。通过对腰部牛小梁骨标本进行单轴和扭转试验，实现了对该模型的实验验证。在累积永久应变、弹性模量降低和屈服后非线性应力之间发现了强相关性，这支持了这些变量反映相同潜在损伤过程的假设。
