论文标题
能量最小化单导向壳的配置
Energy Minimizing Configurations for Single-Director Cosserat Shells
论文作者
论文摘要
我们考虑一类单导管Cosserat壳模型，这些模型涉及曲率和有限的中平面菌株。我们假设在没有弯曲的情况下将存储的能量函数的多峰条件降低到物理上正确的膜模型。在适当的生长条件下，我们确定能量最小化的存在。最小化配置的局部方向是通过对存储能量的爆炸来维持的，作为局部体积比的版本接近零。最后，我们将结果专门针对该主题通常采用的理论的三个约束版本。
We consider a class of single-director Cosserat shell models accounting for both curvature and finite mid-plane strains. We assume a polyconvexity condition for the stored-energy function that reduces to a physically correct membrane model in the absence of bending. With appropriate growth conditions, we establish the existence of energy minimizers. The local orientation of a minimizing configuration is maintained via the blowup of the stored energy as a version of the local volume ratio approaches zero. Finally, we specialize our results to three constrained versions of the theory commonly employed in the subject.
