Some universal solutions are studied for a new class of elastic bodies, wherein the Hencky strain tensor is assumed to be a function of the Kirchhoff stress tensor, considering in particular the case of assuming the bodies to be isotropic and incompressible. It is shown that the families of universal solutions found in the classical theory of nonlinear elasticity, are also universal solutions for this new type of constitutive equation.

中文翻译：

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一类不是绿色弹性的不可压缩弹性体的一些通用解决方案：大弹性变形的情况

对于一类新的弹性体，研究了一些通用的解决方案，其中假定Hencky应变张量是Kirchhoff应力张量的函数，尤其是考虑到假设该弹性体是各向同性且不可压缩的情况。结果表明，在经典的非线性弹性理论中找到的通用解族，也是这种新型本构方程的通用解。