Generalized in situ adaptive tabulation for constitutive model evaluation in plasticity

a generalized plasticity constitutive model for sand-gravel mixtures

this paper presents a model for prediction of the mechanical behavior of sand-gravel mixtures using generalized plasticity and critical state concepts. proposed model is based on the difference between critical state lines of sand and sand-gravel mixture in e-lnp' plane. a generalized plasticity model is considered as the base model for sandy soil. its state parameter, dilation rate and ha...

Approximate nonlinear model predictive control with in situ adaptive tabulation

In situ adaptive tabulation (ISAT) is applied to store and retrieve solutions of nonlinear model predictive control (NMPC) problems. ISAT controls approximation error by adaptively building the database of NMPC solutions with piecewise linear local approximations. Unlike initial state or constraint parameterized constrained quadratic programming (QP) solutions, ISAT approximates NMPC solutions ...

An improved algorithm for in situ adaptive tabulation

In situ adaptive tabulation (ISAT) is a proven storage/retrieval method which efficiently provides accurate approximations to high-dimensional functions which are computation-ally expensive to evaluate. Previous applications of ISAT to computations of turbulent combustion have resulted in speed-ups of up to a thousand. In this paper, improvements to the original ISAT algorithm are described and...

Research Proposal in Situ Adaptive Tabulation for Real-time Control

Constitutive Model for Multi-laminate Induced Anisotropic Double Hardening Elastic-plasticity of Sand

A constitutive multi-laminate based elastic-plastic model developed to be capable of accounting induced anisotropic behavior of granular material such as sand. The fabric feature or grain orientation characteristic effects through medium are considered in a rational way under any complex stress path, including cyclic loading. The salient feature of the developed model is a non-associative on pl...