LEADER 05577nam 2200685 450 001 9910459829403321 005 20200520144314.0 010 $a1-118-53580-4 010 $a1-118-53570-7 010 $a1-118-53579-0 035 $a(CKB)3710000000291290 035 $a(EBL)1866578 035 $a(SSID)ssj0001381506 035 $a(PQKBManifestationID)12594170 035 $a(PQKBTitleCode)TC0001381506 035 $a(PQKBWorkID)11437863 035 $a(PQKB)11638061 035 $a(MiAaPQ)EBC1866578 035 $a(DLC) 2014028280 035 $a(Au-PeEL)EBL1866578 035 $a(CaPaEBR)ebr10990966 035 $a(OCoLC)897070275 035 $a(EXLCZ)993710000000291290 100 $a20140711d2015 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLarge strain finite element method $ea practical course /$fAntonio Munjiza, Esteban Rougier, Earl E. Knight 210 1$aChichester, West Sussex :$cJohn Wiley & Sons, Inc.,$d2015. 215 $a1 online resource (488 p.) 300 $aDescription based upon print version of record. 311 $a1-118-40530-7 320 $aIncludes bibliographical references and index. 327 $aLarge Strain Finite Element Method: A Practical Course; Copyright; Contents; Preface; Acknowledgements; Part One Fundamentals; Chapter 1 Introduction; 1.1 Assumption of Small Displacements; 1.2 Assumption of Small Strains; 1.3 Geometric Nonlinearity; 1.4 Stretches; 1.5 Some Examples of Large Displacement Large Strain Finite Element Formulation; 1.6 The Scope and Layout of the Book; 1.7 Summary; Further Reading; Chapter 2 Matrices; 2.1 Matrices in General; 2.2 Matrix Algebra; 2.3 Special Types of Matrices; 2.4 Determinant of a Square Matrix; 2.5 Quadratic Form; 2.6 Eigenvalues and Eigenvectors 327 $a2.7 Positive Definite Matrix2.8 Gaussian Elimination; 2.9 Inverse of a Square Matrix; 2.10 Column Matrices; 2.11 Summary; Further Reading; Chapter 3 Some Explicit and Iterative Solvers; 3.1 The Central Difference Solver; 3.2 Generalized Direction Methods; 3.3 The Method of Conjugate DirectionsConjugate Directions; 3.4 Summary; Further Reading; Chapter 4 Numerical Integration; 4.1 Newton-Cotes Numerical Integration; 4.2 Gaussian Numerical Integration; 4.3 Gaussian Integration in 2D; 4.4 Gaussian Integration in 3DGaussian Integration in 3D; 4.5 Summary; Further Reading 327 $aChapter 5 Work of Internal Forces on Virtual Displacements5.1 The Principle of Virtual Work; 5.2 Summary; Further Reading; Part Two Physical Quantities; Chapter 6 Scalars; 6.1 Scalars in General; 6.2 Scalar FunctionsScalar Functions; 6.3 Scalar GraphsScalar Graphs; 6.4 Empirical Formulas; 6.5 Fonts; 6.6 Units; 6.7 Base and Derived Scalar Variables; 6.8 Summary; Further Reading; Chapter 7 Vectors in 2D; 7.1 Vectors in General; 7.2 Vector Notation; 7.3 Matrix Representation of Vectors; 7.4 Scalar Product; 7.5 General Vector Base in 2D; 7.6 Dual Base; 7.7 Changing Vector Base 327 $a7.8 Self-duality of the Orthonormal Base7.9 Combining Bases; 7.10 Examples; 7.11 Summary; Further Reading; Chapter 8 Vectors in 3D; 8.1 Vectors in 3D; 8.2 Vector Bases; 8.3 Summary; Further Reading; Chapter 9 Vectors in n-Dimensional Space; 9.1 Extension from 3D to 4-Dimensional Space; 9.2 The Dual Base in 4D; 9.3 Changing the Base in 4D; 9.4 Generalization to n-Dimensional Space; 9.5 Changing the Base in n-Dimensional Space; 9.6 Summary; Further Reading; Chapter 10 First Order Tensors; 10.1 The Slope TensorSlope Tensor; 10.2 First Order Tensors in 2D; 10.3 Using First Order Tensors 327 $a10.4 Using Different Vector Bases in 2D10.5 Differential of a 2D Scalar Field as the First Order Tensor; 10.6 First Order Tensors in 3D; 10.7 Changing the Vector Base in 3D; 10.8 First Order Tensor in 4D; 10.9 First Order Tensor in n-Dimensions; 10.10 Differential of a 3D Scalar Field as the First Order Tensor; 10.11 Scalar Field in n-Dimensional Space; 10.12 Summary; Further Reading; Chapter 11 Second Order Tensors in 2D; 11.1 Stress Tensor in 2D; 11.2 Second Order Tensor in 2D; 11.3 Physical Meaning of Tensor Matrix in 2D; 11.4 Changing the Base; 11.5 Using Two Different Bases in 2D 327 $a11.6 Some Special Cases of Stress Tensor Matrices in 2D 330 $a An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described us 606 $aFinite element method 606 $aStress-strain curves 606 $aDeformations (Mechanics)$xMathematical models 608 $aElectronic books. 615 0$aFinite element method. 615 0$aStress-strain curves. 615 0$aDeformations (Mechanics)$xMathematical models. 676 $a620.1/1230151825 700 $aMunjiza$b Antonio A.$0882913 702 $aRougier$b Esteban 702 $aKnight$b Earl E. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910459829403321 996 $aLarge strain finite element method$92133483 997 $aUNINA LEADER 01800nam0 22003733i 450 001 BRI0014117 005 20251003044048.0 100 $a20030328d1968 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aSan Lorenzello e la valle del Titerno$estoria, tradizione, arte, folklore$fNicola Vigliotti 210 $aNapoli$cLibreria Editrice Redenzione$d1968 215 $a215 p., 31 c. di tav.(di cui 2 rip.)$d25 cm. 606 $aSAN LORENZELLO$xStoria$2FIR$3NAPC032147$9I 606 $aVALLE DEL TITERNO$xStoria$2FIR$3NAPC032148$9I 676 $a945.723$9STORIA. 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