Raftopoulos D D, Qassem W
Department of Mechanical Engineering, University of Toledo, Ohio 43606.
J Biomed Eng. 1987 Oct;9(4):356-66. doi: 10.1016/0141-5425(87)90085-9.
We discuss an analytical approach to the investigation of the normal, shear, and principal stresses transmitted to the human femur. Two cases are considered: in the first the femur is treated as a three dimensional isotropic curved beam, and in the second as a three dimensional anisotropic composite curved beam, consisting of two different materials, the spongy bone and the cortical bone. The composite beam theory is used to investigate stresses in the femur, in which the spongy bone is surrounded by a cortical bone jacket; compatibility of stresses and strains being introduced at the interface of the two bones in order to derive the stress equations at any point in the cross section. General loading conditions are considered in the analysis, in which the femur is subjected to normal and shear forces, and to biaxial bending and twisting moments.
我们讨论了一种用于研究传递到人体股骨的正应力、剪应力和主应力的分析方法。考虑了两种情况：第一种情况将股骨视为三维各向同性弯曲梁，第二种情况将其视为由两种不同材料（松质骨和皮质骨）组成的三维各向异性复合弯曲梁。采用复合梁理论来研究股骨中的应力，其中松质骨被皮质骨外壳包围；在两根骨头的界面处引入应力和应变的相容性，以便推导横截面中任意点的应力方程。分析中考虑了一般加载条件，即股骨承受法向力和剪切力以及双轴弯曲和扭矩。
