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Finite element concepts (Record no. 560820)

MARC details
000 -LEADER
fixed length control field 02043 a2200205 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20191209132651.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191203b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781493974214
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 518.25
Item number D26f
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Dasgupta, Gautam
245 ## - TITLE STATEMENT
Title Finite element concepts
Remainder of title a closed-form algebraic development
Statement of responsibility, etc Gautam Dasgupta
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2018
Place of publication New York
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxxvi, 333p
520 ## - SUMMARY, ETC.
Summary, etc 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 final chapter 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 short introduction to Mathematica, followed by truss analysis using symbolic codes that could be used in all FEM problems to assemble element matrices and solve for all unknowns. All Mathematica codes for theoretical formulations and graphics are included with extensive numerical examples.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Finite element method
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mechanical engineering
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Text Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Copy number Uniform Resource Identifier Cost, replacement price Koha item type
        TEXT PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 09/12/2019 60 3092.18 518.25 D26f cop.1 A185003 Copy 1 3865.22 Text Books
        TEXT PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 09/12/2019 60 3092.18 518.25 D26f cop.2 A185004 Copy 2 3865.22 Text Books

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