UCD CompGeoMech Contributions to OpenSees: Deliverables
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1 UCD CompGeoMech Contributions to OpenSees: Deliverables Prof. Yang, Dr. Cheng, GSRs Jie, Sett, Taiebat, Preisig, Wu, Liu Boris Jeremić, University of California, Davis OpenSees Annual Meeting, San Francisco, January 2007,
2 Outline 1 Material Models, Elements and Procedures 2 Theory Manual Implementation Manual Examples Manual
3 Small deformation elasticity linear isotropic nonlinear isotropic cross anisotropic Large deformation hyperelasticity Neo Hookean Ogden Logarithmic Mooney Rivlin Simo Pister
4 Elastic Plastic Continuum Models: Small Deformations Yield surfaces: von Mises Drucker Prager Cam Clay Rounded Mohr Coulomb Parabolic Leon Plastic flow directions (plastic potential functions): von Mises Drucker Prager Cam Clay Rounded Mohr Coulomb Parabolic Leon Dafalias Manzari
5 Elastic Plastic Continuum Models: Small Deformations (continued) Evolution Laws (hardening and/or softening laws): linear scalar, nonlinear scalar (Cam Clay type), linear tensorial (kinematic hardening/softening: translational and/or rotational) nonlinear tensorial (kinematic hardening/softening: translational and/or rotational) Armstrong Frederick hardening bounding surface hardening/softening
6 Hyperelastic Plastic Continuum Models: Large Deformations Yield surfaces von Mises, Drucker Prager... Plastic flow directions (plastic potential functions): Drucker Prager, von Mises, Evolution Laws: linear and nonlinear scalar, nonlinear scalar linear and nonlinear (AF) tensorial (kinematic hardening/softening: translational and/or rotational)
7 Single Phase Formulations Small deformation solid elements, bricks (8, 20, 21, 27, 8-20 variable node bricks) Stochastic Elastic Plastic Finite Element Method Large deformation (total Lagrangian) solid elements, bricks (20 node brick)
8 Multi Phase Formulations Fully coupled, u p U elements (3D) for small deformations Fully coupled, u p (3D) elements for small deformations Fully coupled u p (3D) elements for large deformations
9 Hyperspherical Arc length Solution Control [ K t f ext 2 ψ2 u u 2 ref u T S 2 λ ψ 2 f ] [ δu δλ ] [ r old = a old ] Load λf ψ f = ψ u ψ f < ψ u ψ f <<ψ u Load λf ψ f >>ψ u ψ f = ψ u ψ f > ψ u Equilibrium Path Equilibrium Path l Constraint Hypersurfaces l Constraint Hypersurfaces Displacement u Displacement u
10 Domain Reduction Method (Bielak et al.) Ω u i Γ e Γ u b u e Fault P e Ω + Γ + u e P eff i P eff b P eff e = M Ω+ 0 be ü0 e K Ω+ M Ω+ eb ü0 b + K Ω+ eb u0 b be u0 e
11 Other Related (more or less) Work Plastic Domain Decomposition (PDD) method Stochastic Elastic Plastic Finite Element Method Visualization for Earthquake Engineering Simulations (VEES) system driver (computational steering, pre and post processing)
12 Theory Manual Implementation Manual Examples Manual Documentation: Literate Programming Implementation follows formulation Formulation follows mechanics and numerics Methodology goal: low Kolmogorov (program size) complexity Verification, Validation and Prediction Open Source (GPL)
13 Theory Manual Implementation Manual Examples Manual Theory Manual Detailed theoretical background Verification: the process of determining that a model implementation accurately represents the developer s conceptual description and specification. Mathematics issue. Verification provides evidence that the model is solved correctly Support for literate programming (DEK)
14 Theory Manual Implementation Manual Examples Manual Implementation Manual Application Programming Interface (API) Public API is forever (asset, liability) Realistically, API evolves API design is tough (perfection is unachievable, but try anyway) Literate programming drives API
15 Theory Manual Implementation Manual Examples Manual Examples Manual Basic validation examples, (Validation: The process of determining the degree to which a model is accurate representation of the real world from the perspective of the intended uses of the model. Physics issue. Validation provides evidence that the correct model is solved.) Advanced, practical, real life predictive examples (Prediction: use of computational model to foretell the state of a physical system under consideration under conditions for which the computational model has not been validated.) Command manual part of examples manual
16 A rich variety of models, elements and procedures for have been developed implemented documented : none really work goes on after PEER ends
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