Topology optimization - broadening the areas of application
Martin Bendsøe, Erik Lund, Niels Olhoff, Ole Sigmund (2005)
Control and Cybernetics
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Martin Bendsøe, Erik Lund, Niels Olhoff, Ole Sigmund (2005)
Control and Cybernetics
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Rajadas, J.N., Chattopadhyay, A., Pagaldipti, N., Zhang, S. (1998)
Mathematical Problems in Engineering
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Talya, Shashishekara S., Rajadas, J.N., Chattopadhyay, A. (1999)
Mathematical Problems in Engineering
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Harbir Antil, Ronald Hoppe, Christopher Linsenmann (2008)
Control and Cybernetics
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Danuta Szeliga, Jerzy Gawąd, Maciej Pietrzyk (2004)
International Journal of Applied Mathematics and Computer Science
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The paper presents an application of the inverse analysis to the identification of two models: a phase transformation model and a rheological model. The optimization algorithm for the inverse analysis was tested for various techniques of searching for the minimum: derivative-free and gradient methods, as well as genetic algorithms. Simulation results were validated for microalloyed niobium steel. An optimization strategy, which is adequate for the inverse analysis, is suggested. ...
Petr Kočandrle, Petr Rybníček (1995)
Applications of Mathematics
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Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its weight and to the hydrostatic pressure. A part of the boundary has to be found so as to minimize a given cost functional. The numerical realization using a penalty method and finite element technique is presented. Some typical results are shown.
Adi Ditkowski, David Gottlieb, Brian W. Sheldon (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we present an analysis of the partial differential equations that describe the Chemical Vapor Infiltration (CVI) processes. The mathematical model requires at least two partial differential equations, one describing the gas phase and one corresponding to the solid phase. A key difficulty in the process is the long processing times that are typically required. We address here the issue of optimization and show that we can choose appropriate pressure and temperature to minimize...
Patrick Penzler, Martin Rumpf, Benedikt Wirth (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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Shape optimization of mechanical devices is investigated in the context of large, geometrically strongly nonlinear deformations and nonlinear hyperelastic constitutive laws. A weighted sum of the structure compliance, its weight, and its surface area are minimized. The resulting nonlinear elastic optimization problem differs significantly from classical shape optimization in linearized elasticity. Indeed, there exist different definitions for the compliance: the change in potential energy...