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Book
ISBN: 1000023534 3866446993 Year: 2011 Publisher: KIT Scientific Publishing
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Engineering materials show a pronounced heterogeneity on a smaller scale that influences the macroscopic constitutive behavior. Algorithms for the periodic discretization of microstructures are presented. These are used within the Nonuniform Transformation Field Analysis (NTFA) which is an order reduction based nonlinear homogenization method with micro-mechanical background. Theoretical and numerical aspects of the method are discussed and its computational efficiency is validated.
microstructure --- order reduction method --- mesh generation --- computational homogenization --- composite materials
Book
ISBN: 9814366897 9789814366892 9787894236289 7894236284 9814366889 9789814366885 9787040317312 Year: 2011 Publisher: Beijing, China Higher Education Press
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The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials)
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