Methods Of Fundamental Solutions In Solid Mechanics
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| Author | : Hui Wang |
| Publisher | : Elsevier |
| Total Pages | : 314 |
| Release | : 2019-06-06 |
| Genre | : Technology & Engineering |
| ISBN | : 0128182849 |
Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
| Author | : E. Kausel |
| Publisher | : Cambridge University Press |
| Total Pages | : 274 |
| Release | : 2006-02-13 |
| Genre | : Science |
| ISBN | : 9780521855709 |
This work contains fundamental solutions for classical, canonical, elastodynamics problems using common format and notation.
| Author | : O. C. Zienkiewicz |
| Publisher | : Elsevier |
| Total Pages | : 653 |
| Release | : 2005-08-09 |
| Genre | : Technology & Engineering |
| ISBN | : 0080455581 |
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
| Author | : Allan F. Bower |
| Publisher | : CRC Press |
| Total Pages | : 820 |
| Release | : 2009-10-05 |
| Genre | : Science |
| ISBN | : 1439802483 |
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
| Author | : Youping Chen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 211 |
| Release | : 2006-12-31 |
| Genre | : Science |
| ISBN | : 0387333681 |
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
| Author | : Petia Dineva |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 250 |
| Release | : 2014-01-30 |
| Genre | : Technology & Engineering |
| ISBN | : 331903961X |
Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids. The book includes contributions on coupled electro-mechanical models, computational methods, its validation and the simulation results, which reveal different effects useful for engineering design and practice. The book is self-contained and well-illustrated, and it serves as a graduate-level textbook or as extra reading material for students and researchers.
| Author | : Lester W. Schmerr |
| Publisher | : Cambridge University Press |
| Total Pages | : 581 |
| Release | : 2021-02-18 |
| Genre | : Science |
| ISBN | : 110884331X |
Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.
| Author | : Qing-Hua Qin |
| Publisher | : Bentham Science Publishers |
| Total Pages | : 357 |
| Release | : 2021-09-07 |
| Genre | : Mathematics |
| ISBN | : 9814998559 |
This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
| Author | : Gerhard A. Holzapfel |
| Publisher | : |
| Total Pages | : 482 |
| Release | : 2000-04-06 |
| Genre | : Mathematics |
| ISBN | : |
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.
| Author | : A. Curnier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 424 |
| Release | : 1994-05-31 |
| Genre | : Mathematics |
| ISBN | : 9780792327615 |
This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Audience: Graduate students and researchers whose work involves the theory and application of computational solid mechanics.
