论文标题
有限弹性线性化的尖锐条件
Sharp conditions for the linearization of finite elasticity
论文作者
论文摘要
我们考虑有限弹性线性化的主题，以解决纯牵引问题。我们表征了重新固定的非线性弹性能的近似序列的变异极限。我们表明，如果外部负载严格的兼容性条件，则极限可严格低于标准线性弹性能的最小值。为可压缩和不可压缩的情况提供了结果。
We consider the topic of linearization of finite elasticity for pure traction problems. We characterize the variational limit for the approximating sequence of rescaled nonlinear elastic energies. We show that the limiting minimal value can be strictly lower than the minimal value of the standard linear elastic energy if a strict compatibility condition for external loads does not hold. The results are provided for both the compressible and the incompressible case.
