Journal ArticleDOI
On optimal orientation of nonlinear elastic orthotropic materials
J. Lellep,J. Majak +1 more
TLDR
In this paper, the problem of minimizing the elastic energy density in the two-dimensional case for a nonlinear elastic solid is solved in the presence of a power law stress-strain relation.Abstract:
The problem of minimization (or maximization) of the elastic energy density is solved in the two-dimensional case for a nonlinear elastic solid. The material behaviour is simulated on the basis of a power law stress-strain relation. Closed-form solutions which include corresponding solutions for a linear elastic solid are obtained. The latter may give local as well as global maxima and minima, respectively.read more
Citations
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Journal ArticleDOI
A modified leaky ReLU scheme (MLRS) for topology optimization with multiple materials
TL;DR: The proposed modified leaky ReLU scheme (MLRS) for topology optimization with multiple materials is proposed, which is general and straightforward, and is compatible with the existing optimization algorithms.
Journal ArticleDOI
Orientational Design of Anisotropic Materials Using the Hill and Tsai–Wu Strength Criteria
Jüri Majak,S. Hannus +1 more
TL;DR: In this paper, the problems of optimal material orientation in the cases of the Hill and Tsai-Wu strength criteria are studied in linear elastic two-and three-dimensional orthotropic materials.
Journal ArticleDOI
Vibration and Buckling Characteristics of Functionally Graded Graphene Nanoplatelets Reinforced Composite Beams with Open Edge Cracks.
TL;DR: It was found that distributing more GPLs on the top and bottom surfaces of the cracked FG-GPLRC beam provides the best reinforcing effect for improved vibrational and buckling performance.
Journal ArticleDOI
Decomposition method for solving optimal material orientation problems
Jüri Majak,M. Pohlak +1 more
TL;DR: In this article, a methodology for determining the stationary points of the strain energy density in anisotropic solids is developed based on new problem formulation, derivation and analysis of optimality conditions, and decomposition method.
Journal ArticleDOI
Optimal material orientation of linear and non-linear elastic 3D anisotropic materials
Jüri Majak,M. Pohlak +1 more
TL;DR: In this article, a simple relation between the stationary conditions in terms of Euler angles and the optimality conditions of strains is pointed out, and the complexity analysis of the different existing optimality condition has been performed.
References
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Journal ArticleDOI
On optimal orientation of orthotropic materials
TL;DR: In this paper, the optimal orientation of an anisotropic material with respect to the actual strain condition was investigated and complete analytical results were derived, including local as well as global maxima and minima.
Journal ArticleDOI
The strength of polymeric and composite materials
Journal ArticleDOI
On thickness and orientational design with orthotropic materials
TL;DR: In this paper, sensitivity analysis for strain energy with anisotropic elasticity is applied to thickness and orientational design of laminated membranes, and the first order gradients of the total elastic energy are primarily used in an optimality criteria based method.
Journal ArticleDOI
Bounds on elastic energy in solids of orthotropic materials
TL;DR: In this paper, a combined finite element/optimization procedure is described, by which the orientation field of the most stiff/flexible solid can be determined, and more general insight obtained.