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Physical Components of Tensors
Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This th...
Failure Analysis of Composite Materials with Manufacturing Defects
In contrast to metals, a composite material acquires an internal structure where the imprint of its manufacturing process history is a significant part of the internal structure’s makeup and in many cases determines how the material responds to external impulses. The performance for which a composite material is designed must therefore be assessed with due consideration to the manufacturing-induced features in the material volume. Failure theories based on homogenized composites cannot deliver reliable methodologies for performance assessment. This book details approaches that depart from traditional treatments by accounting for manufacturing defects in composite materials. It discusses ho...
Classical Continuum Mechanics
This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well ...
Tensor
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National Union Catalog
Includes entries for maps and atlases.
Mathematical Reviews
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Computational Methods in Engineering
Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM). Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat t...
