We consider the complementing condition and Agmon’s condition for linearized elasticity in three-dimensions. With an elasticity tensor C $\mathsf{C}$ derived from a compressible, isotropic stored energy W $W$ , linearized about a homogeneous deformation f 0 $\mathbf{f}_{0}$ , we apply the complementing and Agmon’s conditions to a traction portion of the surface of a body with unit normal n $\mathbf{n}$ . We examine three problems including a general and a neo-Hookean W $W$ .

中文翻译：

---

三维有限弹性中的互补条件和阿格蒙条件

我们考虑了三维线性化弹性的互补条件和阿格蒙条件。弹性张量 C $\mathsf{C}$ 源自可压缩的各向同性储存能量 W $W$ ，关于均匀变形 f 0 $\mathbf{f}_{0}$ 线性化，我们应用补充和阿格蒙条件到具有单位法线 n $\mathbf{n}$ 的物体表面的牵引部分。我们研究了三个问题，包括一般问题和新胡克 W$W$。