| 书目名称 | Finite Element Concepts | | 副标题 | A Closed-Form Algebr | | 编辑 | Gautam Dasgupta | | 视频video | | | 概述 | The textbook is suitable for a two semester undergraduate or a one semester graduate course.Suitable for engineering, applied mathematics and physics students.Modeled for Civil, mechanical, bio-engine | | 图书封面 |  | | 描述 | .This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in structural mechanics with bar problems, which is continued in the next chapter for truss analysis using .Mathematica. programs. The Courant and Clough triangular elements for scalar potentials and linear elasticity are covered in chapters three and four, followed by four-node elements. Chapters five and six describe Taig’s isoparametric interpolants and Iron’s patch test. Rayleigh vector modes, which satisfy point-wise equilibrium, are elaborated on in chapter seven along with successful patch tests in the physical (x,y) Cartesian frame. Chapter eight explains point-wise incompressibility and employs (Moore-Penrose) inversion of rectangular matrices. The finalchapter analyzes patch-tests in all directions and introduces five-node elements for linear stresses. Curved boundaries and higher order stresses are addressed in closed algebraic form. Appendices give a shor | | 出版日期 | Textbook 2018 | | 关键词 | Closed-form computation; Generalized Barycentric coordinates; Continuum mechanics; Differential equatio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-7423-8 | | isbn_softcover | 978-1-4939-8481-7 | | isbn_ebook | 978-1-4939-7423-8 | | copyright | Springer Science+Business Media, LLC 2018 |
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发表于 2025-3-21 19:17:16
