Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms

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Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms

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Author : Jack Samuel Brand Hale
language : en
Publisher:
Release Date : 2013

Meshless Methods For Shear Deformable Beams And Plates Based On Mixed Weak Forms written by Jack Samuel Brand Hale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Advances In Meshfree Techniques

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Author : V.M.A. Leitao
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-26

Advances In Meshfree Techniques written by V.M.A. Leitao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Technology & Engineering categories.

The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

Mesh Free Methods

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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2002-07-29

Mesh Free Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-29 with Mathematics categories.

As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,

The Meshless Local Petrov Galerkin Mlpg Method

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Author : Satya N. Atluri
language : en
Publisher: Crest
Release Date : 2002

The Meshless Local Petrov Galerkin Mlpg Method written by Satya N. Atluri and has been published by Crest this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

An Extended Finite Element Method With Discontinuous Enrichment For Applied Mechanics

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Author : John Everett Dolbow
language : en
Publisher:
Release Date : 1999

An Extended Finite Element Method With Discontinuous Enrichment For Applied Mechanics written by John Everett Dolbow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Discontinuous functions categories.

The modeling of a discontinuous field with a standard finite element approximation presents unique challenges. The construction of an approximating space which is discontinuous across a given line or surface places strict restrictions on the finite element mesh. The simulation of an evolution of the discontinuity is in turn burdened by the requirement to remesh at each stage of the calculation. This work approaches the problem by locally enriching the standard element-based approximation with discontinuous functions. The enriched basis is formed from a union of the set of nodal shape functions with a set of products of nodal shape functions and enrichment functions. The construction of the approximating space in this fashion places the formulation in the class of partition of unity methods. By aligning the discontinuities in the enrichment functions with a specified geometry, a discontinuous field is represented independently of the finite element mesh. This capability is shown to significantly extend the standard method for a number of applications in applied mechanics.

An Introduction To Meshfree Methods And Their Programming

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Author : G.R. Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-05

An Introduction To Meshfree Methods And Their Programming written by G.R. Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-05 with Technology & Engineering categories.

The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.

Meshless Methods In Solid Mechanics

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Author : Youping Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-28

Meshless Methods In Solid Mechanics written by Youping Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-28 with Science categories.

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.

Dynamic Fracture Mechanics

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Author : P. H. Wen
language : en
Publisher: Computational Mechanics
Release Date : 1996

Dynamic Fracture Mechanics written by P. H. Wen and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Technology & Engineering categories.

This work describes the formulation and numerical implementation of both two- and three-dimensional indirect boundary element methods (for example, the fictitious load method and the displacement discontinuity method). It also provides an analysis of crack problems in elastostatic and elastodynamic fracture mechanics, and methods for evaluating weight functions for dynamic problems.

Computer Modeling In Engineering Sciences

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Author :
language : en
Publisher:
Release Date : 2003

Computer Modeling In Engineering Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computer simulation categories.

Uncertainty Quantification In Laminated Composites

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Author : Sudip Dey
language : en
Publisher: CRC Press
Release Date : 2018-09-19

Uncertainty Quantification In Laminated Composites written by Sudip Dey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Mathematics categories.

Over the last few decades, uncertainty quantification in composite materials and structures has gained a lot of attention from the research community as a result of industrial requirements. This book presents computationally efficient uncertainty quantification schemes following meta-model-based approaches for stochasticity in material and geometric parameters of laminated composite structures. Several metamodels have been studied and comparative results have been presented for different static and dynamic responses. Results for sensitivity analyses are provided for a comprehensive coverage of the relative importance of different material and geometric parameters in the global structural responses.