000 05559cam a22003738i 4500
999 _c11116
_d11116
001 19974993
003 PK-SiUMT
005 20220414134627.0
008 170817s2017 nju 001 0 eng c
010 _a 2017030699
020 _a9781119260080 (pbk.)
040 _aWaSeSS/DLC
_beng
_erda
_cWaSeSS
_dDLC
042 _apcc
050 0 0 _aTA347.F5
_bK68 2017
082 0 0 _a518.25
_223
_bKOU-F 2018 12462
100 1 _aKoutromanos, Ioannis,
_d1982-
_eauthor.
_94124
245 1 0 _aFundamentals of finite element analysis :
_blinear finite element analysis /
_cby Ioannis Koutromanos ; With single-chapter contributions from James McClure, Christopher Roy.
263 _a1711
264 1 _aHoboken, NJ :
_bJohn Wiley & Sons,
_c2017.
300 _axviii, 710 pages ;
_billustration ;
_c28 cn.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
500 _aIncludes index.
505 0 _aStrong and weak form for one-dimensional problems -- Finite element formulation for one-dimensional problems -- Multi-dimensional problems : mathematical preliminaries -- Two-dimensional heat conduction and other scalar field problems -- Finite element formulation for two-dimensional scalar field problems -- Multi-dimensional elasticity -- Finite element formulation for two-dimensional elasticity -- Finite element formulation for three-dimensional elasticity -- Topics in applied finite element analysis -- Convergence of multi-dimensional finite element analysis, locking phenomena in multidimensional solids and reduced integration -- Multi-field (mixed) finite elements -- Finite element analysis of beams -- Finite element analysis of shells -- Finite elements for elastodynamics, structural dynamics and time-dependent scalar field problems -- Analysis of time-dependent scalar field (parabolic) problems -- Solution procedures for elastodynamics and structural dynamics -- Verification and validation for the finite element method -- Numerical solution of linear systems of equations.
520 _aAn introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.
650 0 _aFinite element method - Mechanical Engineering
_94125
700 1 _aMcClure, James,
_d1981-
_econtributor.
_94126
700 1 _aRoy, Christopher J.,
_econtributor.
_94127
776 0 8 _iOnline version:
_aKoutromanos, Ioannis, 1982- author.
_tFundamentals of finite element analysis
_dHoboken, NJ : John Wiley & Sons, 2017
_z9781119260141
_w(DLC) 2017043821
906 _a7
_brix
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK