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Contents:

  • About
  • Installation
    • Developer Installation
      • Prerequisites (using conda)
      • Prerequisites (without conda)
      • Simcoon Installation
      • Running Tests (All Platforms)
      • Additional Information
  • External
    • UMEXT Plugin Format
    • UMABA Plugin Format (Abaqus Compatibility)
    • UMANS Plugin Format (Ansys Compatibility)
    • Compiling External Plugins
    • Setting Up Input Files
    • Testing External Plugins
    • Running the Tests
  • Simulation
    • Use the solver
      • Elastic tensile test
      • Solver parameters
        • Corotational spin rate types
      • Define the loading path
        • General structure
        • Block parameters
        • Step definitions
      • Examples
        • Cyclic loading (plasticity)
        • Hyperelasticity with deformation gradient control
        • Finite deformation with spin (logarithmic strain)
        • Thermomechanical loading
    • Configure the output
      • File structure
      • Basic example
      • Strain output options
      • Stress output options
      • Rotation output options
      • Tangent modulus output
      • Temperature output
      • Internal state variables
      • Block output control
      • Hyperelasticity example
      • Default values
      • Result file format
    • FEA Integration
      • Overview
      • Supported FEA Software
        • Abaqus Integration
        • Ansys Integration
      • Key Differences
      • Available Models
  • Examples
    • Analysis and processing examples
      • Effective properties of a cubic material
      • Numerical vs Analytical Eshelby Tensor Comparison
        • Aspect Ratio Sweep
        • Numerical Integration Convergence
        • Plot: Analytical vs Numerical Eshelby Tensor Components
        • Relative Error Analysis
        • Plot: Error Comparison with Limiting Cases
        • Convergence to Limiting Cases
      • Comparison of objective rates
    • Continuum Mechanics Examples
      • Constitutive Library Examples
        • L_iso
        • M_iso
        • L_cubic
        • M_cubic
        • L_isotrans
        • M_isotrans
        • L_ortho
        • M_ortho
      • Rotation library Examples
      • Stress transfer: Cauchy → PKI/PKII/Kirchhoff
      • Stress transfer library examples
      • Yield Criteria Examples
        • Von Mises equivalent stress
        • Tresca equivalent stress
        • Drucker equivalent stress
        • Hill anisotropic yield criterion
        • Hill configurational tensor
        • Yield surface visualization
        • 3D Yield Surfaces
        • Plane Stress (σ₁₁, σ₂₂)
        • Tension-Shear (σ₁₁, σ₁₂)
        • Hill Anisotropy Parameters
        • Drucker Parameter b
    • Heterogeneous materials simulation
      • Micromechanics Examples
        • Plotting the results
        • Effect of Aspect Ratio on Effective Stiffness
      • Eshelby Tensor Examples
        • Eshelby tensor for a sphere
        • Eshelby tensor for an infinite cylinder
        • Eshelby tensor for prolate ellipsoid
        • Eshelby tensor for oblate ellipsoid
        • Eshelby tensor for penny-shaped crack
        • Numerical Eshelby tensor for general ellipsoid
        • Hill’s interaction tensor
      • 2 phase composite homogenization example
        • Effect of aspect ratio on Eshelby tensor components
    • Hyperelasticity
      • Hyperelastic models - use the API
      • Hyperelastic models - use the umat
    • Constitutive Laws Examples
      • Isotropic elasticity examples
      • Transversely Isotropic Elasticity Example
        • Plotting the results
      • Orthotropic Elasticity Example
        • Plotting the results
      • Plasticity with Chaboche Hardening Example
        • Plotting the results
      • Plasticity with isotropic hardening example
      • Plasticity with Isotropic and Kinematic Hardening Example
        • Plotting the results
  • Continuum Mechanics
    • Continuum Mechanics generic functions
      • The Constitutive Library
        • Ireal()
        • Ivol()
        • Idev()
        • Ireal2()
        • Idev2()
        • Ith()
        • Ir2()
        • Ir05()
        • L_iso()
        • M_iso()
        • L_cubic()
        • M_cubic()
        • L_ortho()
        • M_ortho()
        • L_isotrans()
        • M_isotrans()
        • H_iso()
      • The Contimech Library
        • dev()
        • sph()
        • tr()
        • Mises_stress()
        • eta_stress()
        • Mises_strain()
        • eta_strain()
        • J2_stress()
        • J2_strain()
        • J3_stress()
        • J3_strain()
        • Macaulay_p()
        • Macaulay_n()
        • sign()
        • normal_ellipsoid()
        • curvature_ellipsoid()
        • sigma_int()
        • p_ikjl()
        • auto_sym_dyadic()
        • sym_dyadic()
        • auto_dyadic()
        • dyadic_4vectors_sym()
        • auto_sym_dyadic_operator()
        • sym_dyadic_operator()
      • The Criteria Library
        • Drucker_stress()
        • dDrucker_stress()
        • Tresca_stress()
        • dTresca_stress()
        • P_Ani()
        • P_Hill()
        • P_DFA()
        • Hill_stress()
        • dHill_stress()
        • Ani_stress()
        • dAni_stress()
        • DFA_stress()
        • dDFA_stress()
        • Eq_stress()
        • dEq_stress()
      • Transfer helpers (Voigt <-> matrix)
        • v2t_strain()
        • t2v_strain()
        • v2t_stress()
        • t2v_stress()
      • Stress conversions
        • stress_convert()
      • The Damage Library
        • damage_weibull()
        • damage_kachanov()
        • damage_miner()
        • damage_manson()
      • The Kinematics Library
        • ER_to_F()
        • eR_to_F()
        • G_UdX()
        • G_Udx()
        • R_Cauchy_Green()
        • L_Cauchy_Green()
        • RU_decomposition()
        • VR_decomposition()
        • Inv_X()
        • Cauchy()
        • Green_Lagrange()
        • Euler_Almansi()
        • Log_strain()
        • finite_L()
        • finite_D()
        • finite_W()
        • finite_Omega()
        • finite_DQ()
      • Hyperelasticity
      • Recovery of Elastic Properties
        • check_symetries()
        • L_iso_props()
        • M_iso_props()
        • L_isotrans_props()
        • M_isotrans_props()
        • L_cubic_props()
        • M_cubic_props()
        • L_ortho_props()
        • M_ortho_props()
        • M_aniso_props()
  • Homogenization
    • The Eshelby Library
      • Eshelby_sphere()
      • Eshelby_cylinder()
      • Eshelby_prolate()
      • Eshelby_oblate()
      • Eshelby_penny()
      • Eshelby()
      • T_II()
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