Table of Contents

Introduction

About B2000++

1. How FE Problems are described

2. The B2000++ Database

3. Work Flow

Example Cases

1. Scordelis-Lo Roof

2. Buckling of Composite Plate

The Model Description Language (MDL)

MDL syntax and programming

1. MDL format

2. Numeric data

3. Character string and text string data

4. List data

5. Include files

6. b2mdl_expand

7. Variable assignment

8. Data types

9. Data type conversion

10. Substitution

11. Expressions

12. Built-in functions and constants

13. Conditional processing

14. Conditional loops

15. The break and continue statements

MDL file structure

MDL Commands

adir — Analysis directives block

atemperatures — Ambient temperatures block

case — Analysis case block

dof_init — dof (solution) fields block

ebc — Essential boundary conditions block

edgelist — Element edge list definition block

edgeset — Element edge set definition block

elements — Elements definition block

elementlist — Element list definition block

elementset — Element set definition block

epatch — Regular mesh generation block

facelist — Ellement face list block

faceset — Ellement face set block

field_transfer (B2000++ Pro) — Couple adjacent incompatible surface meshes

join — Connect nodes

linc — Linear constraint equations block

material — Element material

nbc — Natural boundary conditions block

nodes — Nodes definition block

nodelist — Node list definition block

nodeset — Node set definition block

property — Property definition block

stage — Analysis stage block

temperatures — Mesh nodes temperature definition block

title — Problem title

transformations — Local coordinate systems definition block

Coordinate Systems and Transformations

1. Coordinate systems

2. Coordinate transformations

Generic Element Types

1. Generic line (L), rod/cable (R) elements

2. Generic beam (B) elements

3. Generic triangle (T) elements

4. Generic quadrilateral (Q) elements

5. Generic tetrahedral (TE) elements

6. Generic hexahedral (HE) elements

7. Generic prismatic (PR) elements

8. Generic point mass (PMASS) element

Elements

Continuum Elements for Stress Analysis

1. Introduction

2. Element Types

3. Required Element Attributes

4. Optional Element Attributes

5. Stresses and Strains

6. Integration Rules

Rod/cable Elements for Stress Analysis

1. Introduction

2. Element Types

3. Required element attributes

4. Optional element attributes

5. Stresses and Strains

Beam Elements for Stress Analysis

1. Introduction

2. Element Types

3. Required element attributes

4. Optional element attributes

5. Stresses and Strains

Shell Elements for Stress Analysis

1. Introduction

2. Element Types

3. Required element attributes

4. Optional element attributes

5. Optional case attributes

6. 5 or 6 degrees-of-freedom

7. Stresses and Strains

Point-mass Elements for Stress Analysis

1. Introduction

2. Element Types

3. Required element attributes

4. Optional element attributes

5. Examples

Rigid-body Element for Stress Analysis

1. Introduction

2. MDL Syntax

3. Example

Scalar Spring Element for Stress Analysis

1. Introduction

2. MDL Syntax

3. Example

Distributed Coupling Element for Stress Analysis

Shell-to-solid Coupling Elements

1. Introduction

2. Requirements and implementation

3. Automatic definition of SSC elements

4. SSC element connectivity

5. Element types

6. Example of SSC definition in the MDL file

Elements for Heat Transfer Analysis

1. Introduction

2. Element Types

3. Required MDL Element Attributes

4. Optional MDL Element Attributes

Materials

Linear Elastic Material Models for Stress Analysis

1. Linear Elastic Isotropic Material

2. Linear Elastic Orthotropic Material

3. Linear Elastic Anisotropic Material

4. Laminates

5. ABD Material

6. PSHELL Material

7. Additional Notes

Hyperelastic Material Models for Stress Analysis (B2000++ Pro)

1. Mooney-Rivlin Material Model

2. Generalised Blatz-Ko Material Model

Viscoelastic Material Models for Stress Analysis (B2000++ Pro)

1. Viscoelastic Isotropic Material

2. Viscoelastic Orthotropic Material

3. Theoretical Background

Failure Criteria for Stress Analysis

1. Maximum Principal Stress Failure Criterion

2. Maximum Stress Failure Criterion

3. Maximum Principal Strain Failure Criterion

4. Maximum Strain Failure Criterion

5. Von Mises Failure Criterion

6. Tsai-Hill Failure Criterion

7. Tsai-Wu Failure Criterion

8. Hashin Failure Criterion

9. LaRC04 Failure Criterion

10. Post-Processing of Failure Criteria

Gradient Output in Stress Analysis

Material Model for Heat-Transfer Analysis

1. Heat Conduction Parameters

2. Heat Convection Attributes

3. Heat Radiation Attributes

4. Example

User-defined Material

Solvers

Static Linear Solver

1. MDL Commands

2. Numerical algorithm

Static Nonlinear Solver (B2000++ Pro)

1. Applications

2. MDL Commands

3. Examples

4. Artificial damping

5. Flux-normalised correction termination test

6. Numerical algorithm

Dynamic Linear Solver

1. MDL Commands

2. Example

Dynamic Nonlinear Solver (B2000++ Pro)

1. Applications

2. MDL Commands

3. Examples

4. Numerical algorithm

Undamped Free Vibration Solver

1. MDL Commands

2. Numerical algorithm

Frequency-Dependent Undamped Free-Vibration Solver (B2000++ Pro)

1. MDL Commands

2. Numerical algorithm

Linearised Pre-Buckling Solver

1. MDL Commands

2. Numerical algorithm

Sparse Linear Equation Solvers

Imposing Linear and Nonlinear Constraints

1. MDL Commands

Program Reference

b2000++ — Run a B2000++ analysis.

b2convert_from_nas (B2000++ Pro) — From a Nastran® BDF file create an MDL file

b2convert_from_salome — Create a B2000++ MDL file from a Salome mesh

b2ip++ — B2000++ input processor

b2mass — Compute the volume, the mass, and the center of gravity of a B2000++ model.

b2browser — Browse through a B2000++ model database.

b2mcbrowser — Browse through all datasets of a B2000++ model database.

b2print_rayleigh_damping_coefficients — Print Rayleigh damping coefficients alpha and beta

baspl++ (B2000++ Pro) — Post-process B2000++ databases.

b2rmdb — Remove B2000++ databases

b2testrunner (B2000++ Pro) — Run B2000++ test cases

Appendix

Frequently Asked Questions

1. B2000++ Frequently Asked Questions

2. MemCom Frequently asked questions

3. baspl++ Frequently Asked Questions

Tools and Libraries used by B2000++

1. BLAS

2. MUMPS

3. muParser

4. PASTIX

5. ARPACK

6. SCOTCH and PT-SCOTCH

7. GMM++

8. Intel® Threading Building Block 4.x

9. RayTrace Software Package

References

Bibliography

Index