Material optimization: bridging the gap between conceptual and preliminary design

Hörnlein, H. R. E. M.; Kočvara, Michal; Werner, Ralf

doi:10.1016/s1270-9638(01)01125-7

Cited by 29 publications

(8 citation statements)

References 17 publications

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“…In this optimization, the macro-material physical properties are directly optimized instead of macro-density of usual topology optimization. This method was utilized in the design of fiber orientation angle of carbon fiber composites [106] and could now become a strong tool for AM lattice design.…”

Section: Porous Infill Design 31 Porous Infill Optimizationmentioning

confidence: 99%

Current and future trends in topology optimization for additive manufacturing

Liu

Gaynor

Chen

et al. 2018

Struct Multidisc Optim

630

249

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Manufacturing-oriented topology optimization has been extensively studied the past two decades, in particular for the conventional manufacturing methods, e.g., machining and injection molding or casting. Both design and manufacturing engineers have benefited from these efforts because of the close-tooptimal and friendly-to-manufacture design solutions. Recently, additive manufacturing (AM) has received significant attention from both academia and industry. AM is characterized by producing geometrically complex components layer-by-layer, and greatly reduces the geometric complexity restrictions imposed on topology optimization by conventional manufacturing. In other words, AM can make near-full use of the freeform structural evolution of topology optimization. Even so, new rules and restrictions emerge due to the diverse and intricate AM processes, which should be carefully addressed when developing the AM-specific topology optimization algorithms. Therefore, the motivation of this perspective paper is to summarize the state-of-art topology optimization methods for a variety of AM topics. At the same time, this paper also expresses the authors' perspectives on the challenges and opportunities in these topics. The hope is to inspire both researchers and engineers to meet these challenges with innovative solutions.

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Section: Porous Infill Design 31 Porous Infill Optimizationmentioning

confidence: 99%

Current and future trends in topology optimization for additive manufacturing

Liu

Gaynor

Chen

et al. 2018

Struct Multidisc Optim

630

249

View full text Add to dashboard Cite

show abstract

“…Finally, it is worth noting that through the use of the polar formalism, it is possible to optimize directly the homogenized tensors representing the material properties of the composite laminated plate without considering the underlying stacking sequence. The choice of the optimization variables shown in this paragraph, as well as the introduction of the optimization constraints of equation ( 13), are equivalent to a free-material optimization of the composite laminated plate: for a more detailed discussion on the application of the polar method to free-material optimization of composite structures see Julien (2010); concerning more generally the free-material approach of composite laminates, one can see for instance Bendsøe et al (1995), Ho¨rnlein et al (2001), or Hvejsel et al (2011).…”

Section: Upper Boundmentioning

confidence: 99%

A two-level procedure for the global optimization of the damping behavior of composite laminated plates with elastomer patches

Montemurro

Vincenti

Koutsawa

et al. 2013

Journal of Vibration and Control

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This work concerns a two-level procedure for the global optimum design of hybrid elastomer/composite modular structures. The goal of the procedure is the maximisation of the first N f modal loss factors of the structure, satisfying mechanical constraints on the weight and on the bending stiffness, feasibility constraints on the admissible moduli for the constitutive laminates, along with geometric constraints on the positions of the visco-elastic patches. At the first level of the procedure, the optimisation of the damping behaviour of the structure is carried out: the optimisation variables at this stage are the number of elastomer patches (modules), as well as their geometrical parameters (position, thickness and diameter), along with the material and geometric parameters of the composite laminated structure (elastic moduli, thickness of the laminate). The composite structure supporting the elastomer patches is thus optimised using a free-material approach, via the polar representation of 2D elasticity, and the second level of the optimisation consists in finding the laminate stacking sequence satisfying the optimal elastic moduli and thickness issued from the first step. The method is able to automatically determine the optimal number of modules and it does not need the introduction of any simplifying assumption. The proposed approach relies on one hand, on the application of the well-known Iterative Modal Strain Energy (IMSE) method for the evaluation of the dynamic response of the structure, and on the other hand on the use of the polar formalism for the representation of the elastic anisotropic behaviour of composite laminates as well as of a genetic algorithm as optimisation tool to perform the solution search. We will illustrate the application of our approach to the optimisation of the damping behaviour of a rectangular composite plate with a discontinuous aperiodic distribution of viscoealstic material. The numerical results show the effectiveness of the proposed strategy.

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“…Nevertheless it gives valuable information about the optimal material density, symmetry and principal directions, which can be exploited to realize approximations of the optimal design. One possible realization by tapelayering is described in [13]. In the recent years, the formulation of the Free Material Optimization problem has been extended to cover multiple load cases [1], stability control by consideration of global buckling [15] and stress constraints [16].…”

Section: Introductionmentioning

confidence: 99%

Free Material Optimization for Plates and Shells

Gaile

Leugering

Stingl

2009

IFIP Advances in Information and Communication Technology

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Abstract. In this article, we present the Free Material Optimization (FMO) problem for plates and shells based on Naghdi's shell model. In FMO -a branch of structural optimization -we search for the ultimately best material properties in a given design domain loaded by a set of given forces. The optimization variable is the full material tensor at each point of the design domain. We give a basic formulation of the problem and prove existence of an optimal solution. Lagrange duality theory allows to identify the basic problem as the dual of an infinite-dimensional convex nonlinear semidefinite program. After discretization by the finite element method the latter problem can be solved using a nonlinear SDP code. The article is concluded by a few numerical studies.

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Material optimization: bridging the gap between conceptual and preliminary design

Cited by 29 publications

References 17 publications

Current and future trends in topology optimization for additive manufacturing

Current and future trends in topology optimization for additive manufacturing

A two-level procedure for the global optimization of the damping behavior of composite laminated plates with elastomer patches

Free Material Optimization for Plates and Shells

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