advanced mechanics of continua applied and computational mechanics

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Advanced Mechanics Of Continua

Author : Karan S. Surana
ISBN : 9781498708111
Genre : Science
File Size : 27. 98 MB
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Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum mechanics. This book explores the foundation of continuum mechanics and constitutive theories of materials using understandable notations. It does not stick to one specific form, but instead provides a mix of notations that while in many instances are different than those used in current practice, are a natural choice for the information that they represent. The book places special emphasis on both matrix and vector notations, and presents material using these notations whenever possible. The author explores the development of mathematical descriptions and constitutive theories for deforming solids, fluids, and polymeric fluids—both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contravariant bases. He also establishes the tensorial nature of strain measures and influence of rotation of frames on various measures, illustrates the physical meaning of the components of strains, presents the polar decomposition of deformation, and provides the definitions and measures of stress. Comprised of 16 chapters, this text covers: Einstein’s notation Index notations Matrix and vector notations Basic definitions and concepts Mathematical preliminaries Tensor calculus and transformations using co- and contra-variant bases Differential calculus of tensors Development of mathematical descriptions and constitutive theories Advanced Mechanics of Continua prepares graduate students for fundamental and basic research work in engineering and sciences, provides detailed and consistent derivations with clarity, and can be used for self-study.

Iutam Iacm Iabem Symposium On Advanced Mathematical And Computational Mechanics Aspects Of The Boundary Element Method

Author : Tadeusz Burczynski
ISBN : 9789401597937
Genre : Technology & Engineering
File Size : 71. 65 MB
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During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.

Numerical Methods And Methods Of Approximation In Science And Engineering

Author : Karan S. Surana
ISBN : 9780429650505
Genre : Mathematics
File Size : 81. 43 MB
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Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. The text features highlighted examples, numerous problems, and a complete Solutions Manual for instructors.

An Introduction To Continuum Mechanics

Author : J. N. Reddy
ISBN : 9781139466400
Genre : Technology & Engineering
File Size : 54. 25 MB
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This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. A course on continuum mechanics introduces the basic principles of mechanics and prepares students for advanced courses in traditional and emerging fields such as biomechanics and nanomechanics. This text introduces the main concepts of continuum mechanics simply with rich supporting examples but does not compromise mathematically in providing the invariant form as well as component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.

An Introduction To Continuum Mechanics

Author : J. N. Reddy
ISBN : 9781107025431
Genre : Mathematics
File Size : 47. 48 MB
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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

Generalized Barycentric Coordinates In Computer Graphics And Computational Mechanics

Author : Kai Hormann
ISBN : 9781498763615
Genre : Computers
File Size : 45. 76 MB
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In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert illustrates the stunning applications of this fascinating research area.

Computational Mechanics

Author : Zhenhan Yao
ISBN : 7302093431
Genre : Computer-aided design
File Size : 65. 95 MB
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The Cumulative Book Index

Author :
ISBN : UOM:39015058373740
Genre : American literature
File Size : 74. 32 MB
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Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials

Author : Raymond Ogden
ISBN : 3709107016
Genre : Technology & Engineering
File Size : 72. 22 MB
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This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Encyclopedia Of Computational Mechanics

Author : Erwin Stein
ISBN : 0470846992
Genre : Mechanics, Applied
File Size : 25. 28 MB
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