论文标题
参考配置与最佳旋转：所有牵引力的有限弹性的线性弹性衍生
Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
论文作者
论文摘要
我们严格地将线性弹性作为纯牵引力非线性弹性的低能量极限。与以前的结果不同，我们没有对部队施加任何限制性假设，并获得了完整的$γ$ convergence结果。该分析依靠识别正确的参考配置来线性化，并研究其与力首选的旋转（最佳旋转）的关系。 $γ$限制是标准线性弹性模型，加上一个术语，该术语对最佳旋转的参考配置波动进行了惩罚。但是，在最小化器上，此附加项为零，极限能量减少到标准线性弹性。
We rigorously derive linear elasticity as a low energy limit of pure traction nonlinear elasticity. Unlike previous results, we do not impose any restrictive assumptions on the forces, and obtain a full $Γ$-convergence result. The analysis relies on identifying the correct reference configuration to linearize about, and studying its relation to the rotations preferred by the forces (optimal rotations). The $Γ$-limit is the standard linear elasticity model, plus a term that penalizes for fluctuations of the reference configurations from the optimal rotations. However, on minimizers this additional term is zero and the limit energy reduces to standard linear elasticity.
