MSC.Marc 2013.1理论手册

【实例简介】
MSC.MARC是功能齐全的高级非线性有限元软件，具有极强的结构分析能力。可以处理各种线性和非线性结构分析包括：线性/非线性静力分析、模态分析、简谐响应分析、频谱分析、随机振动分析、动力响应分析、自动的静/动力接触、屈曲/失稳、失效和破坏分析等
Contents Marc Volume A: Theory and User Information reface About this manual ■■■ ■ 20 Purpose of volume A 20 Contents of volume a 20 How to Use this manual 21 1 The Marc System Marc Programs............ ■■ 23 Marc for Analysis 23 Mentat or patran for gul 24 Structure of marc 24 Procedure Library 24 Material Library 24 Element Library 25 Program Function Library 25 Features and benefits of marc 25 2 Program Initiation Marc Host Systems 27 Workspace Requirements 27 Marc Workspace Requirements 27 File Units 30 Program Initiation......... 32 Examples of running marc Jobs ■■■ ■■ 34 4 Marc Volume A: Theory and User Information 3 Data Entry Input Conventions 38 Input of List of Items 39 Examples of lists 41 Table Driven Input ■ ■ 41 Table Input 42 Parameters 46 Model Definition Options 46 History Definition Options 46 REZONE Option 47 4 Introduction to mesh definition Direct Input 49 Element Connectivity Data 49 Nodal coordinate data 53 Activate/Deactivate 54 User Subroutine Input 54 MESH2D 54 Block definition 54 Merging of Nodes 54 Block Types 55 Symmetry, Weighting, and Constraints 57 Additional Options 58 Mentat 58 FXORD Option 59 Major classes of the fXoRD Option 59 Recommendations on Use of the FXORD Option 63 Incremental mesh generators ■■■■■ 63 Bandwidth Optimization 64 Rezoning..... 64 Substructure 65 Technical Background 66 Scaling Element Stiffness 67 Contents 5 BEAM SECT Parameter ■■■ 68 Orientation of the Section in Space 68 Definition of the section 68 Error Analysis 74 ocal Adaptivity Number of Elements Created 74 74 Boundary Conditions 75 Location of new nodes 76 Adaptive Criteria 77 Automatic Global remeshing 80 Remeshing criteria 84 Remeshing Techniques Patran Tetrahedral mesher 88 5 Structural Procedure Library Linear Analysis 99 Accuracy 100 Error estimates 100 Adaptive meshing 101 Fourier Analysis 101 Nonlinear Analysis 104 Geometric nonlinearities 108 Eulerian Formulation Arbitrary Eulerian-Lagrangian(AEL) Formulation 118 Nonlinear Boundary Conditions 118 Buckling Analysis 120 Perturbation Analysis 121 Computational Procedures for Elastic-Plastic Analysis 126 Creep 138 Viscoelasticity 142 Viscoplasticity 143 Fracture Mechanics 144 Linear fracture mechanics 144 Nonlinear fracture mechanics 147 Numerical Evaluation of the J-integral 148 Numerical Evaluation of the Energy Release Rate with the VCCT Method 150 Automatic Crack Propagation Dynamic Fracture Methodology 162 6 Marc Volume A: Theory and User Information Dynamic crack Propagation ..162 Crack Initiation 163 Mesh Splitting 165 Mesh Splitting Along Edges or Faces 165 Mesh Cutting 167 Dynamics... 168 Modal(Eigenvalue) Analysis .168 Harmonic Response 172 Spectrum Response 75 Transient Analysis 179 Inertia relief 191 Rigid Body Mode Evaluation .191 Rigid-Plastic Flow 195 Steady State Analysis 95 Transient Analysis 196 Technical background ..196 Superplasticity 197 Soil Analysis 199 Technical formulation 200 Mechanical Wear .,,,,,,,,203 Design Sensitivity Analysis........ ■■ 205 Theoretical considerations 207 Design Optimization 208 Approximation of Response Functions Over the Design Space ..209 Improvement of the Approximation 211 The Optimization algorithm Marc User Interface for Sensitivity Analysis and Optimization 212 Define Initial State with Results from a Previous Analysis 215 Pre state 215 Model sections 217 Steady State Rolling Analysis 219 Kinematics 219 lnetⅰaE仟fect... 221 Rolling Contact 221 Steady state rolling with marc 221 Contents Structural Zooming Analysis. 222 Element Types Supported 223 Uncoupled Thermal Stress Analysis 223 Cure-Thermal-Mechanically Coupled Analysis 224 Cure Kinetics 225 Cure Shrinkage Strain 228 References,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,229 6 Nonstructural Procedure Library Heat Transfer 234 Thermal Contact 235 Convergence Controls 235 Steady state Analysis 236 Transient Analysis emperature Effects 238 Initial Conditions 239 Boundary Conditions 239 Surface Energy 243 Thermochemical Ablation and Surface Energy Balance 244 Mathematical Presentation 244 Mechanical Erosion 251 Mechanical Erosion by Other Actions 251 pyrolySis 251 Coking 255 Monitoring Thermal Degradation 258 Presentation of the Energy Equation 260 Ablation 262 Welding 27 Radiation 278 Conrad Gap 292 Channel 293 Output 294 Diffusion 295 Technical Background 296 Hydrodynamic Bearing 300 Technical Background 302 8 Marc Volume A: Theory and User Information Electrostatic Analysis 304 Technical Background 305 Magnetostatic Analysis 308 Technical background ..309 Magnetodynamic Analysis∴∴ 320 Technical Background 322 Piezoelectric Analysis 325 Technical Background 326 Strain Based Piezoelectric Coupling ..328 Acoustic Analysis 328 Rigid Cavity Acoustic Analysis 328 Technical Background 329 Fluid mechanics 330 Finite element formulation 333 Penalty Method 335 Steady State Analysis 336 Transient Analysis 336 Solid Analysis 336 Solution of Coupled Problems in Fluids ..336 Degrees of Freedom 337 Element Types .337 Coupled Analyses∴.. ■量■画■ ■■ ,,,,,,,,339 Thermal Mechanically Coupled Analysis 341 Coupled Acoustic-Structural Analysis Fluid/Solid Interaction- Added Mass Approach 342 346 Coupled Electrostatic-Structural Analysis 348 Coupled Magnetostatic-Structural Analysis 350 Coupled Thermal-Electrical Analysis (Joule Heating) 352 Coupled Electrical-Thermal-Mechanical Analysis 355 Coupled Magnetostatic-Thermal Analysis 357 Coupled Magnetodynamic-Thermal Analysis 358 Coupled Magnetodynamic-Thermal-Structural Analysis ..359 References∴,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,362 Contents 9 7 Material Library Linear Elastic Material 365 Composite Material ...... 367 Layered Materials 368 Classical Lamination Theory for Multi-Layered Shells 371 Material Preferred direction 372 Material Dependent Failure Criteria 376 Interlaminar Shear for Thick Shell, Beam, Solid shell, and 3-d Composite brick elements 394 Interlaminar Stresses for continuum composite elements 397 Progressive Composite Failure 397 Mixture model 399 Gasket 403 Constitutive model 403 Nonlinear Hypoelastic Material 407 Thermo-Mechanical Shape Memory Model 422 Transformation Induced deformation 424 Constitutive Theory 425 Phase Transformation strains 425 Experimental Data Fitting for Thermo-mechanical Shape Memory Alloy 427 Mechanical Shape Memory Model 431 Conversion from Thermo-Mechanical to Mechanical SMA oy Experimental Data Fitting for Mechanical Shape Memory alle 434 435 Elastomer 436 Updated Lagrange formulation for nonlinear elasticity 455 Time-independent Inelastic Behavior 456 Yield Conditions 458 Mohr-Coulomb Material(Hydrostatic Stress Dependence) 464 Buyukozturk Criterion(Hydrostatic Stress Dependence) 465 Powder material 465 Obtaining Crush Curve and Shear Failure Parameters by Curve Fitting in Marc 475 Work or strain hardening .....,,,479 Flow rule 485 Constitutive Relations 486 Time-independent Cyclic Plasticity 489 Time-dependent Inelastic Behavior 492 Creep(Maxwell Model) 翻 495 Oak Ridge National Laboratory Laws 500 10 Marc Volume A: Theory and User Information Swelling .501 Viscoplasticity 502 Time-dependent Cyclic Plasticity 502 Anand solder model 504 Viscoelastic Material 505 Bergstrom-Boyce Model 516 Narayanaswamy Model 518 Frequency-dependent Material Behavior 522 Viscoelastic Material Behavior in the Frequency Domain 522 Thermo-Rheologically Simple Material Behavior in the Frequency Domain 538 Deformation Dependent Relaxation in the Frequency Domain 539 Harmonic Equations of motion 541 Performing viscoelastic Analysis in the Frequency Domain 543 Temperature Effects and Coefficient of Thermal Expansion ,546 Piecewise Linear Representation 547 Temperature-Dependent Creep 548 Coefficient of Thermal Expansion 549 Time-Temperature-Transformation 549 Low Tension Material 552 Uniaxial Cracking Data 552 LoW Tension Cracking 552 Tension Softening 552 Crack Closure 553 Crushing 553 Analysis 554 Soil model 554 Elastic Models 554 Cam-Clay Model 555 Evaluation of soil parameters for the critical state soil model 557 Damage Models 565 Ductile metals 565 Elastomers 568 Cohesive Zone Modeling 570 Nonstructural materials 578 Heat transfer analysis 579 Piezoelectric Analysis 579 Thermo-Electrical Analysis 579 Coupled Electrical-Thermal-Mechanical Analysis 579 Hydrodynamic Bearing Analysis Fluid/ Solid Interaction Analysis- Added Mass approach 579 .579 【实例截图】
【核心代码】