In this work, we study of the asymptotic behavior in the whole line of a thermoelastic structure with interfacial slip and second sound where the heat conduction is given by the Cattaneo law. We prove several polynomi...
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In this work, we study of the asymptotic behavior in the whole line of a thermoelastic structure with interfacial slip and second sound where the heat conduction is given by the Cattaneo law. We prove several polynomial decay estimates depending on the smoothness of initial data. The proof is based on the semigroup approach, the energy method by introducing a Lyapunov functional, and Fourier transform.
By analyzing the results of compliance minimization of thermoelastic structures,we observed that microstructures play an important role in this optimization ***,we propose to use a multiple variable cutting(M-VCUT)lev...
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By analyzing the results of compliance minimization of thermoelastic structures,we observed that microstructures play an important role in this optimization ***,we propose to use a multiple variable cutting(M-VCUT)level set-based model of microstructures to solve the concurrent two-scale topology optimization of thermoelastic structures.A microstructure is obtained by combining multiple virtual microstructures that are derived respectively from multiple microstructure prototypes,thus giving more diversity of microstructure and more flexibility in design *** effective mechanical properties of microstructures are computed in an off-line phase by using the homogenization method,and then a mapping relationship between the design variables and the effective properties is established,which gives a data-driven model of *** the online phase,the data-driven model is used in the finite element analysis to improve the computational *** compliance minimization problem is considered,and the results of numerical examples prove that the proposed method is effective.
We consider a laminated beams due interfacial slip with control boundary conditions of fractional derivative type. We show the existence and uniqueness of solutions. Furthermore, concerning the asymptotic behavior we ...
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We consider a laminated beams due interfacial slip with control boundary conditions of fractional derivative type. We show the existence and uniqueness of solutions. Furthermore, concerning the asymptotic behavior we show the lack of exponential stability and the polynomial decay rate of the corresponding semigroup by using the classic theorem of Borichev and Tomilov.
This study investigates structural topology optimization of thermoelastic structures considering two kinds of objectives ofminimumstructural compliance and elastic strain energy with a specified available volume *** e...
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This study investigates structural topology optimization of thermoelastic structures considering two kinds of objectives ofminimumstructural compliance and elastic strain energy with a specified available volume *** explicitly express the configuration evolution in the structural topology optimization under combination of mechanical and thermal load conditions,the moving morphable components(MMC)framework is *** on the characteristics of the MMC framework,the number of design variables can be reduced *** optimization formulation in the MMC topology optimization framework and numerical solution procedures are developed for several numerical *** optimization results are obtained with structural compliance and elastic strain energy as objectives,respectively,for thermoelastic *** effectiveness of the proposed optimization formulation is validated by the numerical *** is revealed that for the optimization design of the thermoelastic structural strength,the objective function with the minimum structural strain energy can achieve a better performance than that from structural compliance design.
This paper presents a robust topology optimization (RTO) framework for thermoelastic hierarchical structures with hybrid uncertainty. Firstly, the thermoelastic concurrent optimization model is established and the unc...
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This paper presents a robust topology optimization (RTO) framework for thermoelastic hierarchical structures with hybrid uncertainty. Firstly, the thermoelastic concurrent optimization model is established and the uncertainties with interval random parameters are integrated into the thermoelastic hierarchical structure. Then, a reliable and cost-effective hybrid uncertainty perturbation analysis method (HUPAM) is derived for a quick estimate of the robust objective function subject to the mechanical and thermal loads. Finally, by calculating the design variables sensitivities of macroscale and microscale, the robust topological design can be generated efficiently. To obtain clear and optimal topologies for both macro- and micro- structures, the bi-directional evolutionary structural optimization (BESO) method is adopted. Some 2D and 3D numerical examples are presented to demonstrate the influences of the hybrid uncertainties on the final designs. The results also show that the proposed method can effectively improve the thermoelastic structural performance when it comes to uncertainties.
The present paper studies multi-objective design of lightweight thermoelastic structure composed of homogeneous porous material. The concurrent optimization model is applied to design the topologies of light weight st...
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The present paper studies multi-objective design of lightweight thermoelastic structure composed of homogeneous porous material. The concurrent optimization model is applied to design the topologies of light weight structures and of the material microstructure. The multi-objective optimization formulation attempts to find minimum structural compliance under only mechanical loads and minimum thermal expansion of the surfaces we are interested in under only thermo loads. The proposed optimization model is applied to a sandwich elliptically curved shell structure, an axisymmetric structure and a 3D structure. The advantage of the concurrent optimization model to single scale topology optimization model in improving the multi-objective performances of the thermoelastic structures is investigated. The influences of available material volume fraction and weighting coefficients are also discussed. Numerical examples demonstrate that the porous material is conducive to enhance the multi-objective performance of the thermoelastic structures in some cases, especially when lightweight structure is emphasized. An "optimal" material volume fraction is observed in some numerical examples.
Structural optimization aims at finding an appropriate material distribution to achieve the best structural performance. In this paper, the evolutionary structural optimization method is further developed to deal with...
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Structural optimization aims at finding an appropriate material distribution to achieve the best structural performance. In this paper, the evolutionary structural optimization method is further developed to deal with thermoelastic optimization, where structural material is progressively redistributed so as to minimize the displacement under thermal and mechanical loading. To evaluate the effects of material removal or addition on the displacement of thermoelastic structures, a sensitivity number is proposed on the basis of the thickness variation of an element. The method proves to be very simple in its mathematical operations and suitable for computer implementation. The numerical examples are compared against those by the homogenization method to verify and validate this method of solving thermoelastic optimizations. In addition, the effect of various temperature distributions on the final optimum structures is investigated in detail. (C) 1999 Elsevier Science S.A. All rights reserved.
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