On the Return Mapping Algorithms in Structural Optimization of Biomorphic Ceramics
نویسندگان
چکیده
The paper deals with structural optimization of biomorphic microcellular ceramics invoking an elasto– plasticity with the von Mises yield criterion in the macroscopic model. The return mapping algorithms introduced by Simo and Ortiz in 1985 are applied for the numerical solution of the problem. The latter methods are computationally effective, robust and stable, and have recently become the most popular means of numerically solving elasto–plastic equations. Based on the operator splitting methodology, the return mapping algorithm can be defined by first solving the elastic equations to obtain an elastic predictor and then taken as an initial condition for the plastic equations by using a projection of the trial elastic stress onto the constraint set of admissible stresses. Finite element discretized von Mises plasticity with isotropic strain hardening is included in the state equation considered as an equality constraint in the structural optimization problem.
منابع مشابه
STRUCTURAL RELIABILITY ASSESSMENT UTILIZING FOUR METAHEURISTIC ALGORITHMS
The failure probability of the structures is one of the challenging problems in structural engineering. To obtain the reliability index introduced by Hasofer and Lind, one needs to solve a nonlinear equality constrained optimization problem. In this study, four of the most recent metaheuristic algorithms are utilized for finding the design point and the failure probability of problems with cont...
متن کاملSTRUCTURAL OPTIMIZATION PROBLEMS OF THE ISCSO 2011-2015: A TEST SET
Beginning in 2011 an international academic contest named as International Student Competition in Structural Optimization (ISCSO) has been organized by the authors to encourage undergraduate and graduate students to solve structural engineering optimization&nbs...
متن کاملA Discrete Hybrid Teaching-Learning-Based Optimization algorithm for optimization of space trusses
In this study, to enhance the optimization process, especially in the structural engineering field two well-known algorithms are merged together in order to achieve an improved hybrid algorithm. These two algorithms are Teaching-Learning Based Optimization (TLBO) and Harmony Search (HS) which have been used by most researchers in varied fields of science. The hybridized algorithm is called A Di...
متن کاملOPTIMAL CONSTRAINED DESIGN OF STEEL STRUCTURES BY DIFFERENTIAL EVOLUTIONARY ALGORITHMS
Structural optimization, when approached by conventional (gradient based) minimization algorithms presents several difficulties, mainly related to computational aspects for the huge number of nonlinear analyses required, that regard both Objective Functions (OFs) and Constraints. Moreover, from the early '80s to today's, Evolutionary Algorithms have been successfully developed and applied as a ...
متن کاملAnalysis Accruing of Sentinel 2A Image’s Classification Methods Based on Object Base and Pixel Base in Flood Area Zoning of Taleqan River
Flood zonation mapping is one of the priorities for the soil and water management, which Remote Sensing (RS) capabilities are very applicable to this issue. The main objective of this research was study of accuracy of the Object oriented and Pixel based methods for flood zonation mapping in the Taleghan River basin. Therefore, the Sentinel 2A satellite image of the study area classified using s...
متن کامل