Nonlinear Elastic Deformations
Nonlinear Elastic Deformations
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DOI：
10.1115/1.3169137
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发表时间：
1985-09
期刊：
影响因子：
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通讯作者：
R. Ogden;E. Sternberg
中科院分区：
文献类型：
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作者：
R. Ogden;E. Sternberg
第四章，第五章，松弛方法及其应用。在那里，我们找到了一个详细的讨论块松弛方法，凸分析的一些结果，和优化技术的二次泛函。在第6章中介绍了增广拉格朗日方法，最喜欢的Glowinski和一个主题上，他写了许多论文。第七章将讨论非线性问题的李平方近似及其在流体力学中的应用。文中讨论了用李方法和有限元法处理的一些令人印象深刻的跨音速流动计算。提供了三个附录，一个是关于线性变分问题的介绍，另一个是关于二阶对流项问题的迎风有限元方法，第三个是关于Navier-Stokes方程及其数值处理。再次，这是一个精确的，精心编写的书和一个非常受欢迎的除了非线性计算力学的文献。
Chapter 4, and relaxation methods and applications in Chapter 5. There we find a detailed discussion of block relaxation methods, some result of convex analysis, and optimization techniques for quadratic functionals. In Chapter 6 the augment Lagrange method are introduced, a favorite of Glowinski and a subject on which he has written many papers. Lee's square approximations to nonlinear problems are discussed in Chapter 7 with applications to fluid dynamics. There some impressive transonic flow calculations are discussed which are handled by Lee square and finite element methods. Three appendices are provided, one on an introduction to linear variational problems, another on finite element methods with upwinding for second-order problems with convective terms, and a third on Navier-Stokes equations and their numerical treatment. Again, this is a precise, carefully written book and a very welcome addition to the literature on nonlinear computational mechanics.