Center For Research In Mathematics Cimat Ac

Valenciana, Mexico

Center For Research In Mathematics Cimat Ac

Valenciana, Mexico
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Comellas E.,Polytechnic University of Catalonia | Valdez S.I.,Center For Research In Mathematics Cimat Ac | Oller S.,Polytechnic University of Catalonia | Botello S.,Center For Research In Mathematics Cimat Ac
Composite Structures | Year: 2015

An optimization method to identify the material parameters of composite structures using an inverse method is proposed. This methodology compares experimental results with their numerical reproduction using the finite element method in order to obtain an estimation of the error between the results. This error estimation is then used by an evolutionary optimizer to determine, in an iterative process, the value of the material parameters which result in the best numerical fit. The novelty of the method is in the coupling between the simple genetic algorithm and the mixing theory used to numerically reproduce the composite behavior. The methodology proposed has been validated through a simple example which illustrates the exploitability of the method in relation to the modeling of damaged composite structures. © 2014 Elsevier Ltd.


Valdez S.I.,Center For Research In Mathematics Cimat Ac | Botello S.,Center For Research In Mathematics Cimat Ac | Ochoa M.A.,Center For Research In Mathematics Cimat Ac | Marroquin J.L.,Center For Research In Mathematics Cimat Ac | Cardoso V.,Center For Research In Mathematics Cimat Ac
Archives of Computational Methods in Engineering | Year: 2016

This article proposes a benchmark set of problems for fixed mesh topology optimization in 2 dimensions. We have established the problems based on an analysis of more than 100 articles from the topology optimization specialized literature, gathering the most common dimensions, loads and fixed regions used by researchers. Most of the problems reported in specialized literature present differences in specifications such as lengths, units, materials among others. For instance, some articles propose the same proportions and geometrical shapes but different dimensions. Hence, the purpose of this benchmark is to unify geometrical and mechanical characteristics and load conditions, considering that the proposed problems must be realistic, in the sense that the units are in the International System and a real-world material and load conditions are used. The final benchmark integrates 13 problems for plane stress using ASTM A-36 steel. Additionally, we report approximations to the optimum solutions for both: compliance and volume minimization problems using the Solid Isotropic Material with Penalization (SIMP) and a novel version of SIMP proposed in this article. © 2016 CIMNE, Barcelona, Spain


Valdez S.I.,Center For Research In Mathematics Cimat Ac | Hernandez A.,Center For Research In Mathematics Cimat Ac | Botello S.,Center For Research In Mathematics Cimat Ac
Information Sciences | Year: 2013

This paper introduces a new approach for estimation of distribution algorithms called the Boltzmann Univariate Marginal Distribution Algorithm (BUMDA). It uses a Normal-Gaussian model to approximate the Boltzmann distribution, hence, formulae for computing the mean and variance parameters of the Gaussian model are derived from the analytical minimization of the Kullback-Leibler divergence. The resulting formulae explicitly introduces information about the fitness landscape for the Gaussian parameters computation, in consequence, the Gaussian distribution obtains a better bias to sample intensively the most promising regions than simply using the maximum likelihood estimator of the selected set. In addition, the BUMDA formulae needs only one user parameter. Accordingly to the experimental results, the BUMDA excels in its niche of application. We provide theoretical, graphical and statistical analysis to show the BUMDA performance contrasted with state of the art EDAs. © 2013 Elsevier Inc. All rights reserved.


Pesantes M.,Center For Research In Mathematics Cimat Ac | Lemus C.,Center For Research In Mathematics Cimat Ac | Mitre H.A.,Center For Research In Mathematics Cimat Ac | Mejia J.,Center For Research In Mathematics Cimat Ac
Proceedings - 2012 9th Electronics, Robotics and Automotive Mechanics Conference, CERMA 2012 | Year: 2012

Software Process Architecture is an emergent area of research, with little understanding, scarce experience and confusing terminology. Thus, technical concerns along with its evolution are difficult to express. And it has been until recent time that has received increasing attention as an important sub-area of Software Process Engineering. This paper aims to briefly present main topics of software process architecture addressing three main issues: What is a software process architecture?, How it is created? And who is responsible for building it? (i.e. definition, process and role). It also identifies some challenges and research directions by delineating a roadmap to facilitate its understanding and growth. © 2012 IEEE.

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