Jiang Ke's blog

The solution of linearly elastic and orthotropic solid bodies is very complicated, thus a new element model for solving linearly elastic and orthotropic bodies is presented by using the generalized Hooke's law and the superposition principle. This new model is a simple truss consisting of some bars, and then the solution of orthotropic body becomes simple. Furthermore, this new model reveals the physical mechanism of a solid body under the action of applied forces.

Keywords: Elasticity, new model, orthotropic body, truss, generalized Hooke's law

Based on the generalized Hooke's law and the superposition principle, a new element model of linearly elastic and orthotropic solid bodies is presented. Furthermore, the paper provides a new method for analyzing solid bodies. This new element is a simple truss, and a solid body is considered to consist of many such truss elements, then the solid body becomes a truss structure. Thus the internal forces and displacements of the solid body can be obtained by calculating this truss structure.

Keywords: solid body, element model, Elasticity, Hooke's law, truss element

 Jiang Ke. A new method for solving solid structures. COMPUTATIONAL MECHANICS: Proceedings of International Symposium on Computational Mechanics (ISCM 2007), July 30-August 1, 2007, Beijing,China. Tsinghua University Press & Springer.