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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Residual Stresses in Cortical Bone Modelled by an Anisotropic and Non-symmetric Elastic-Plastic Material Behaviour
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Residual Stresses in Cortical Bone Modelled by an Anisotropic and Non-symmetric Elastic-Plastic Material Behaviour

机译:各向异性和非对称弹塑性材料行为模拟的骨皮质残余应力

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摘要

Residual stresses are built up during insertion of implants in bone to avoid relative movement between the implant and the bone. Due to the design of many implants these stresses can yield damage to the bone and therefore cause early loosening. Usually this loading is modelled by the use of a linear elastic model and the equivalent stress hypothesis by VON MISES. The anisotropic structure of cortical bone requires a different approach: On the basis of a transversely- isotropic failure criterion, an anisotropic equivalent stress and reciprocal safety factor is defined and a potential for an elastic-plastic model is set up. A quantitative interpretation of the results can therefore be given for a multiaxial state of stress. In comparison with the conventional approach, even the qualitative results differ.
机译:在将植入物插入骨骼期间会形成残余应力,以避免植入物与骨骼之间的相对运动。由于许多植入物的设计,这些应力可能会损坏骨骼,从而导致早期松弛。通常,使用线性弹性模型和VON MISES的等效应力假设对载荷进行建模。皮质骨的各向异性结构需要采取不同的方法:根据横观各向同性破坏准则,定义各向异性等效应力和倒数安全系数,并建立弹塑性模型的潜力。因此,可以对应力的多轴状态给出结果的定量解释。与常规方法相比,甚至定性结果也不同。

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