Theory GuideΒΆ Contents Continuum Mechanics General motions Lagrangian and Eulerian descriptions Displacement, velocity, acceleration fields Material, special derivatives Deformation gradient Strain and stress Strain Stress Balance laws Lagrangian view Eulerian view Constitutive Modeling Isochoric-split Material Models Linear elasticity Incompressibility Neo-Hookean Neo-Hookean Isochoric-split Mooney-Rivlin Mooney-Rivlin Isochoric-split Ogden Isochoric-split Governing equations Elasticity Linear Hyperelasticity, initial configuration Newton linearization Hyperelasticity, current configuration Push forward, then linearize Linearize in current configuration Linearize, then push forward Pressure boundary condition Matrix-free implementation Static and Quasistatic Elastodynamics Mixed Elasticity Mixed Linear Mixed Hyperelasticity, initial configuration Newton linearization Mixed Hyperelasticity, current configuration Perturbed Lagrange-multiplier method Matrix-free implementation Plasticity Linearized Virtual Work: Spatial Tangent Modulus General Framework Free Energy Potential Yield Function Dissipation Potential Consistent Tangent Rate-independent Isotropic von Mises Model Stress Update Consistent Tangent for von Mises Model Platen Contact Boundary Conditions Formulation Large-Deformation Frictional Contact Nitsche Method Weak Form Newton Linearization Phase-Field Modeling of Brittle Fracture Damage driving force and crack irreversibility Weak form AT1 and AT2 models AT1: Weak form and linearization (Not yet implemented) AT2: Weak form and linearization Viscous regularization Material Point Method