A Direct Simulation of Dynamic Behavior of Random Skeletal Structures

摘要

Skeletal structures are very common in the nature; plant tissues and osseous tissues are examples of this kind of arrangement. The particular configuration of beam-like members and hollow portions results in outstanding characteristics of lightweight and high energy absorption, which are of great interest for engineering applications. These beam-like members can transmit not only forces but also moments from one point to another. Thus, when analysing the mechanical behavior of skeletal structures, not only longitudinal and transverse (or bending) waves are to be considered, but twisting waves might also represent a significant wave propagation mode. The evaluation of the rod-beam branches in terms of mechanical variables is done in order to study the macroscopic response of the arrangement. Using the spatial decomposition technique of Voronoi tessellation and a three-dimensional rod-beam finite element method with six degrees of freedom per node the microscopic computational model is generated. In this model, the significance and effects of twisting waves can be analyzed, and a continuum representation for materials with complex internal structure can successfully be constructed.