This paper presents two algorithms for solving the discrete, quasi-static, small-displacement, linear elastic, contact problem with Coulomb friction. The are adoptions of a Newton method B-differentiable equations and an interior point smooth, constrained equations. For application former method, is formulated as system involving projection operator onto sets simple structure; latter smooth complementarity conditions non-negativity variables treated constraints. numerically tested...

In order to obtain a robust performance, the established approach when using radial basis function networks (RBF) as metamodels is add posteriori bias which defined by extra orthogonality constraints. We mean that this not needed, instead can simply be set priori normal equation, i.e. becomes corresponding regression model. paper we demonstrate performance of our suggested with in general good as, or even for many test examples better than, RBF bias. Using approach, it clear global response...

In this work, a topology optimization (TO) based framework for functional grading of triply periodic minimal surfaces (TPMS) lattice structures is developed, implemented and demonstrated. Material interpolation laws the gyroid, G-prime Schwarz-D are derived by numerical homogenization transversely isotropic elasticity represented as convex combinations solid material with penalization (SIMP) rational approximation properties (RAMP) models. These in TO-based compliance problem new upper lower...

In this work, optimal combinations of macro-layouts and local gradings triply periodic minimal surface (TPMS)-based lattice structures are obtained by using multi-scale topology optimization. A new innovative framework is proposed two density variables in each finite element. The first variable the relative it sets effective orthotropic elastic properties element, which turn numerical homogenization representative volume elements particular TPMS-based structure interest. second a standard...

In this work a second order approach for reliability-based design optimization (RBDO) with mixtures of uncorrelated non-Gaussian variables is derived by applying reliability methods (SORM) and sequential quadratic programming (SQP). The derivation performed introducing intermediate defined the incremental iso-probabilistic transformation at most probable point (MPP). By using these in Taylor expansions constraints, corresponding general first method (FORM) based (QP) problem formulated...

In this paper, an efficient sequential approach for simulating thermal stresses in brake discs repeated braking is presented. First, a frictional heat analysis performed by using Eulerian formulation of the disc. Then, temperature history from first step sequence, plasticity with dependent material data order to determine corresponding stresses. Three-dimensional geometries disc and pad heavy truck are considered numerical simulations. The contact forces computed at each time taking...

In this article, an approach for metamodel-based design optimization (MBDO) of topology (TO) concepts is proposed by using support vector machines (SVMs) as geometric models the instead traditional parametric computer aided (CAD) models. such a manner, efficient MBDO-driven TO-based obtained. An implicit hypersurface representing concept generated classifying TO-solutions zeros and ones 1-norm SVM Mangasarian. The SVM-based hypersurfaces are then utilized to set up designs experiments...

Many engineering design optimization problems involve multiple conflicting objectives, which today often are obtained by computational expensive finite element simulations. Evolutionary multi-objective (EMO) methods based on surrogate modeling is one approach of solving this class problems. In paper, a disc brake system to heavy truck using EMO and radial basis function networks (RBFN) presented. Three objectives considered. These are: 1) minimizing the maximum temperature brake, 2)...

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Gradient Theory of Damage Coupled to Frictional Contact and Wear, Its Numerical Treatment