Theory Guide# Contents Continuum Mechanics Material coordinates Lagrangian view Eulerian view Material derivative Balance laws Lagrangian view Eulerian view Constitutive Modeling Isochoric-split Neo-Hookean Neo-Hookean Isochoric-split Mooney-Rivlin Mooney-Rivlin Isochoric-split Ogden Isochoric-split Numerical Formulations Hyperelasticity Initial configuration Weak form Newton linearization Current configuration Push forward, then linearize Linearize, then push forward Pressure boundary condition Mixed Hyperelasticity Initial configuration Weak form Newton linearization Current configuration Perturbed Lagrange-multiplier method Static and Quasistatic 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 Elastodynamics Material Point Method 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