European Journal of Mechanics - A/Solids ( IF 4.1 ) Pub Date : 2021-01-24 , DOI: 10.1016/j.euromechsol.2021.104223 Georgiy M. Sevastyanov
The paper presents an analytical solution to the coupled problem of spherically symmetric elastic-plastic deformation accompanied by heating of the material due to the plastic dissipation, which in turn changes the mechanical properties of the material. The dependence of both elastic and plastic mechanical properties of the material on temperature can be arbitrary. Both elastic and plastic deformations are assumed to be finite. The thermal expansion of material is neglected. Heating is assumed to be adiabatic. Instead of a spatial coordinate, temperature is considered as an independent monotonic variable. This made it possible to reduce the problem to solving the first order ODE. The obtained solution is valid for any incompressible hyperelastic solid with arbitrary pressure-independent non-singular yield condition, perfectly-plastic or isotropic strain-hardening/softening. Example of solution for the linear thermal-softening and strain hardening material with tension-compression asymmetry in yielding is given.
中文翻译:
各向同性不可压缩材料中绝热加热效应对球腔弹塑性收缩/膨胀的影响
本文提出了一种解决方案,解决了由于塑性耗散而伴随着材料加热而引起的球对称弹塑性变形耦合问题,进而改变了材料的机械性能。材料的弹性和塑性机械性能对温度的依赖性可以是任意的。假定弹性变形和塑性变形都是有限的。材料的热膨胀被忽略。假定加热是绝热的。代替空间坐标,温度被认为是独立的单调变量。这使得可以减少解决一阶ODE的问题。所获得的解适用于具有任意压力无关的非奇异屈服条件的任何不可压缩的超弹性固体,完全塑性或各向同性的应变硬化/软化。给出了屈服压缩不对称的线性热软化和应变硬化材料的解决方案示例。