In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place for the linearized theory. The last section is devoted to describing the spatial behavior of the solutions.

中文翻译：

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一类新型弹性体一维响应的不稳定性、不存在性及空间行为

在本说明中，我们在一类新的弹性体的背景下考虑一维问题。在本构方程的适当条件下，我们证明了与线性化理论相似的解的不稳定性和不存在性。最后一节专门描述解的空间行为。