Examples

Below are examples illustrating Simcoon’s main features. These examples are designed to serve as tutorials. In that sense, an effort is made to keep the scripts simple and executable with a low computational cost.

Analysis and processing examples

Below are examples illustrating Simcoon’s capabilities for simulating mechanical and thermomechanical responses and post-processing results.

Effective properties of a cubic material

Effective properties of a cubic material

Numerical vs Analytical Eshelby Tensor Comparison

Numerical vs Analytical Eshelby Tensor Comparison

Comparison of objective rates

Comparison of objective rates

Continuum Mechanics Examples

Below are examples illustrating Simcoon’s main features. These examples are designed to serve as tutorials. In that sense, an effort is made to keep the scripts simple and executable with a low computational cost.

This gallery contains examples demonstrating:

• Constitutive relations - Building stiffness and compliance tensors for various material symmetries

• Stress measures - Converting between different stress measures (Cauchy, PK1, PK2, etc.)

• Rotation operations - Rotating tensors and vectors

• Yield criteria - von Mises, Tresca, Drucker, and Hill anisotropic criteria

Constitutive Library Examples

Constitutive Library Examples

Rotation library Examples

Rotation library Examples

Stress transfer: Cauchy → PKI/PKII/Kirchhoff

Stress transfer: Cauchy → PKI/PKII/Kirchhoff

Stress transfer library examples

Stress transfer library examples

Yield Criteria Examples

Yield Criteria Examples

Heterogeneous materials simulation

Below are examples illustrating Simcoon’s capabilities for simulating heterogeneous materials.

This gallery contains examples demonstrating:

• Eshelby tensors - Computing Eshelby and Hill interaction tensors for various inclusion shapes

• Micromechanics - Effective properties using Mori-Tanaka and self-consistent schemes, effect of volume fraction and aspect ratio

Micromechanics Examples

Micromechanics Examples

Eshelby Tensor Examples

Eshelby Tensor Examples

2 phase composite homogenization example

2 phase composite homogenization example

Hyperelasticity

Below are examples illustrating Simcoon’s capabilities for simulating materials exhibiting hyperelasticity.

Hyperelastic models - use the API

Hyperelastic models - use the API

Hyperelastic models - use the umat

Hyperelastic models - use the umat

Constitutive Laws Examples

Below are examples illustrating Simcoon’s constitutive laws library.

This gallery contains examples demonstrating the following material models:

Elastic Models:

• ELISO - Isotropic elasticity

• ELIST - Transversely isotropic elasticity

• ELORT - Orthotropic elasticity

Plasticity Models:

• EPICP - Plasticity with isotropic hardening (power-law)

• EPKCP - Plasticity with combined isotropic and kinematic hardening

• EPCHA - Plasticity with Chaboche hardening (cyclic plasticity)

Isotropic elasticity examples

Isotropic elasticity examples

Transversely Isotropic Elasticity Example

Transversely Isotropic Elasticity Example

Orthotropic Elasticity Example

Orthotropic Elasticity Example

Plasticity with Chaboche Hardening Example

Plasticity with Chaboche Hardening Example

Plasticity with isotropic hardening example

Plasticity with isotropic hardening example

Plasticity with Isotropic and Kinematic Hardening Example

Plasticity with Isotropic and Kinematic Hardening Example