Poly-, quasi- and rank-one convexity in applied mechanics
Poly-, quasi- and rank-one convexity in applied mechanics
复制标题
应用力学中的多凸性、拟凸性和一阶凸性
DOI：
10.1007/978-3-7091-0174-2
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发表时间：
2010
影响因子：
2.5
通讯作者：
P. Neff
中科院分区：
文献类型：
--
作者：
J. Schröder;P. Neff
非线性弹性力学的进展与困惑非线性弹性中的拟凸包络各向异性多凸能量。非平凡各向异性类的多凸能量的构造各向异性多凸能量的应用：薄壳和动脉壁的生物力学。具有界面能的相变：凸性条件和极小值的存在性。向列型弹性体：建模、分析和数值模拟。多凸性和强椭圆性在非线性弹性和弹性板理论中的应用?-收敛的几何精确Cosserat壳模型的缺陷弹性晶体。
Progress and puzzles in nonlinear elasticity.- Quasiconvex envelopes in nonlinear elasticity.- Anisotropie polyconvex energies.- Construction of polyconvex energies for non-trivial anisotropy classes.- Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls.- Phase transitions with interfacial energy: convexity conditions and the existence of minimizers.- Nematic elastomers: modelling, analysis, and numerical simulations.- Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory.- ?-convergene e for a geometrically exact Cosserat shell-model of defective elastic crystals.