Introduction to nonlinear finite element analysis /
نام عام مواد
[Book]
نام نخستين پديدآور
Nam-Ho Kim
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Preface; Contents; Chapter 1: Preliminary Concepts; 1.1 Introduction; 1.2 Vector and Tensor Calculus; 1.2.1 Vector and Tensor; 1.2.2 Vector and Tensor Calculus; 1.2.3 Integral Theorems; 1.3 Stress and Strain; 1.3.1 Stress; 1.3.2 Strain; 1.3.3 Stress-Strain Relationship; 1.4 Mechanics of Continuous Bodies; 1.4.1 Boundary-Valued Problem; 1.4.2 Principle of Minimum Potential Energy; 1.4.3 Principle of Virtual Work; 1.5 Finite Element Method; 1.5.1 Finite Element Approximation; 1.5.2 Finite Element Equations for a One-Dimensional Problem; 1.5.3 Finite Element Equations for 3D Solid Element
متن يادداشت
1.5.4 A MATLAB Code for Finite Element Analysis1.6 Exercises; References; Chapter 2: Nonlinear Finite Element Analysis Procedure; 2.1 Introduction to Nonlinear Systems in Solid Mechanics; 2.1.1 Geometric Nonlinearity; 2.1.2 Material Nonlinearity; 2.1.3 Kinematic Nonlinearity; 2.1.4 Force Nonlinearity; 2.2 Solution Procedures for Nonlinear Algebraic Equations; 2.2.1 Newton-Raphson Method; 2.2.2 Modified Newton-Raphson Method; 2.2.3 Incremental Secant Method; 2.2.4 Incremental Force Method; 2.2.4.1 Load Increment in Commercial Software; 2.2.4.2 Automatic Time Stepping
متن يادداشت
2.2.4.3 Force Control vs. Displacement Control2.3 Steps in the Solution of Nonlinear Finite Element Analysis; 2.3.1 State Determination; 2.3.2 Residual Calculation; 2.3.3 Convergence Check; 2.3.4 Linearization; 2.3.5 Solution; 2.4 MATLAB Code for a Nonlinear Finite Element Analysis Procedure; 2.5 Nonlinear Solution Controls Using Commercial Finite Element Programs; 2.5.1 Abaqus; 2.5.2 ANSYS; 2.5.3 NEiNastran; 2.6 Summary; 2.7 Exercises; References; Chapter 3: Finite Element Analysis for Nonlinear Elastic Systems; 3.1 Introduction; 3.2 Stress and Strain Measures in Large Deformation
متن يادداشت
3.2.1 Deformation Gradient3.2.2 Lagrangian and Eulerian Strains; 3.2.2.1 Lagrangian Strain; 3.2.2.2 Eulerian Strain; 3.2.3 Polar Decomposition; 3.2.4 Deformation of Surface and Volume; 3.2.4.1 Volume Changes; 3.2.4.2 Area Changes; 3.2.5 Cauchy and Piola-Kirchhoff Stresses; 3.3 Nonlinear Elastic Analysis; 3.3.1 Nonlinear Static Analysis: Total Lagrangian Formulation; 3.3.1.1 Constitutive Relation; 3.3.1.2 Boundary Conditions; 3.3.1.3 Principle of Minimum Potential Energy; 3.3.1.4 Linearization (Tangent Stiffness); 3.3.2 Nonlinear Static Analysis: Updated Lagrangian Formulation
متن يادداشت
3.4 Critical Load Analysis3.4.1 One-Point Approach; 3.4.2 Two-Point Approach; 3.4.3 Stability Equation with Actual Critical Load Factor; 3.5 Hyperelastic Materials; 3.5.1 Strain Energy Density; 3.5.2 Nearly Incompressible Hyperelasticity; 3.5.2.1 Mooney-Rivlin Material Model; 3.5.2.2 Selective Reduced Integration; 3.5.2.3 Mixed Formulation; 3.5.2.4 Perturbed Lagrangian Formulation; 3.5.2.5 Algorithm for Stress Calculation; 3.5.3 Variational Equation and Linearization; 3.6 Finite Element Formulation for Nonlinear Elasticity; 3.7 MATLAB Code for Hyperelastic Material Model
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Introduction to Nonlinear Finite Element Analysis will introduce the key concepts of nonlinear finite element analysis procedures. The book will explain the fundamental theories of the field, and provide instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, only four representative problems are addressed: nonlinear elasticity, elastoplasticity, contact problem, and dynamic problem. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appen
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to nonlinear finite element analysis
شماره استاندارد بين المللي کتاب و موسيقي
9781441917454
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Finite element method.
موضوع مستند نشده
Nonlinear mechanics.
موضوع مستند نشده
Finite element method.
موضوع مستند نشده
Mathematical optimization.
موضوع مستند نشده
Nonlinear mechanics.
رده بندی ديویی
شماره
620
.
00151825
ويراست
22
رده بندی کنگره
شماره رده
TA347
.
F5
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )