The dynamic sphere test problem

Chabaud, Brandon M.¹  Brock, Jerry S.¹  Smith, Brandon M.¹ 

[1] Los Alamos National Laboratory

关键词: SYMMETRY;    MATERIALS;    ELASTICITY;   

DOI  :  10.2172/1040817
RP-ID  :  LA-UR-12-21452
PID  :  OSTI ID: 1040817
Others  :  TRN: US201211%%360

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

In this manuscript we define the dynamic sphere problem as a spherical shell composed of a homogeneous, linearly elastic material. The material exhibits either isotropic or transverse isotropic symmetry. When the problem is formulated in material coordinates, the balance of mass equation is satisfied automatically. Also, the material is assumed to be kept at constant temperature, so the only relevant equation is the equation of motion. The shell has inner radius r{sub i} and outer radius r{sub o}. Initially, the shell is at rest. We assume that the interior of the shell is a void and we apply a time-varying radial stress on the outer surface.