Simulation

The Simulation module provides tools for running simulations, including solvers, identification algorithms, and mathematical utilities.

Submodules:

• Mathematical Functions
  • The Rotation Module
  • Overview
  • Random Number Generation
  • Statistics
  • Numerical Solvers
• The Rotation Module
  • Overview
  • The Rotation Class
  • Rotation Free Functions
  • Examples
  • Theory
  • See Also
• Solver Functions
  • subdiag2vec()
  • Lt_2_K()
  • Lth_2_K()
  • solver_essentials()
  • solver_control()
  • read_matprops()
  • read_output()
  • check_path_output()
  • read_path()
  • solver()
  • simcoon::block
  • simcoon::solver_output
  • simcoon::step
  • simcoon::step_meca
  • simcoon::step_thermomeca
• Identification
  • doe_uniform()
  • doe_uniform_limit()
  • doe_random()
  • gen_initialize()
  • run_identification()
  • genetic()
  • to_run()
  • find_best()
  • write_results()
  • calcV()
  • calcS()
  • checkS()
  • reduce_S()
  • calcC()
  • Hessian()
  • diagJtJ()
  • bound_min()
  • bound_max()
  • dbound_min()
  • dbound_max()
  • calcW()
  • G_cost()
  • LevMarq()
  • calcDp()
  • read_parameters()
  • read_constants()
  • read_data_exp()
  • read_data_weights()
  • read_data_num()
  • ident_essentials()
  • ident_control()
  • read_gen()
  • copy_parameters()
  • copy_constants()
  • apply_parameters()
  • apply_constants()
  • launch_solver()
  • launch_odf()
  • launch_func_N()
  • run_simulation()
  • calc_cost()
  • calc_sensi()
  • simcoon::constants
  • simcoon::generation
  • simcoon::individual
  • simcoon::opti_data
  • simcoon::parameters
• Phase
  • Phase Characteristics

Overview

This module contains simulation and numerical tools:

• Maths: Mathematical utilities (random numbers, statistics, solvers)

• Rotation: Comprehensive 3D rotation tools with Rotation class and Voigt notation support

• Solver: Material point simulation solvers

• Identification: Parameter identification algorithms

• Phase: Phase management and properties

What’s New in Simcoon 2.0

The Rotation module has been significantly enhanced with:

• New Rotation class inspired by scipy.spatial.transform.Rotation

• Unit quaternion internal representation for numerical stability

• Support for multiple Euler angle conventions (zxz, zyz, xyz, etc.)

• Intrinsic and extrinsic rotation modes

• SLERP interpolation for smooth orientation transitions

• Direct Voigt notation operations (stress, strain, stiffness, compliance)

• Full Python bindings with NumPy integration

See The Rotation Module for complete documentation.