Stress formulation for frictionless contact of an elastic-perfectly-plastic body
Stress formulation for frictionless contact of an elastic-perfectly-plastic body
复制标题
完美弹塑性体无摩擦接触的应力公式
DOI：
10.1080/00036810412331297235
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Meir Shillor †
中科院分区：
文献类型：
--
作者：
M. Sofonea;N. Renon;Meir Shillor †
分析了可变形体与刚性移动障碍物无摩擦接触的数学模型。普朗特-罗伊斯弹塑性本构定律用于描述材料的行为，并通过对表面速度施加单方面条件来模拟接触。这个问题是由耕地过程引起的。根据应力导出了问题的变分公式，并证明了唯一弱解的存在。该证明基于 A. Amassad、M. Shillor 和 M. Sofonea (2001) 中获得的微分包含论据。弹性完美塑性体与 Tresca 摩擦的准静态接触问题。农林.分析，35，95–109。最后，提出了解决方案对数据的连续依赖性的研究。
A mathematical model for frictionless contact of a deformable body with a rigid moving obstacle is analyzed. The Prandtl–Reuss elastic-perfectly-plastic constitutive law is used to describe the material's behavior, and contact is modeled with a unilateral condition imposed on the surface velocity. The problem is motivated by the process of the plowing of the ground. A variational formulation of the problem is derived in terms of the stresses and the existence of the unique weak solution is proven. The proof is based on arguments for differential inclusions obtained in A. Amassad, M. Shillor and M. Sofonea (2001). A quasistatic contact problem for an elastic perfectly plastic body with Tresca's friction. Nonlin. Anal., 35, 95–109. Finally, a study of the continuous dependence of the solution on the data is presented.