Design of composite structures with extremal elastic properties in the presence of technological constraints

A methodology for obtaining the optimal structure and distribution for the gradient properties of a material in order to reduce the stress level in a soldered joint was constructed. The developed methodology was based on a combination of topological optimization methods (the moving asymptotes method) and the finite elements method; it was first implemented to solve problems of optimizing soldered joints. Using the proposed methodology, a number of problems were solved, allowing one to obtain optimal structural characteristics, in which a decrease in stress is revealed. Designing compounds using this technique will provide more robust designs. The proposed technique can be applied to a wide class of practical problems.

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“…This work continues a series of publications by authors dedicated to topological optimization [52][53][54].…”

Section: Topological Optimization Of Non-symmetric Packages Under Thesupporting

confidence: 57%

Decreasing Shear Stresses of the Solder Joints for Mechanical and Thermal Loads by Topological Optimization

et al. 2020

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“…Mesh dependency, which arises from the fact that a finer mesh allows for sharper optimal designs, can be mitigated by increasing the number of partitions. The authors of this work addressed this issue in their studies on the optimization of structures [24,25,35,36] as well as the identification of holes/inclusions [37,38].…”

Section: Statement Of the Topological Optimization Problemmentioning

confidence: 99%

Topological Optimization of Interconnection of Multilayer Composite Structures

et al. 2023

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This study focuses on the topological optimization of adhesive overlap joints for structures subjected to longitudinal mechanical loads. The aim is to reduce peak stresses at the joint interface of the elements. Peak stresses in such joints can lead to failure of both the joint and the structure itself. A new approach based on Rational Approximation of Material Properties (RAMP) and the Finite Element Method (FEM) has been proposed to minimize peak stresses in multi-layer composite joints. Using this approach, the Mises peak stresses of the optimal structural joint have been significantly reduced by up to 50% under mechanical loading in the longitudinal direction. The paper includes numerical examples of different types of structural element connections.

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“…It should be mentioned that some authors of this paper have earlier investigated the influence of temperature field on the statics and dynamics of nonlinear Euler-Bernoulli nanobeams [102] fabricated based on the optimization method [103].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory

et al. 2019

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The dependence of the quality factor of nonlinear microbeam resonators under thermoelastic damping for Timoshenko beams with regard to geometric nonlinearity has been studied. The constructed mathematical model is based on the modified cou-Russian Federation 634050 ple stress theory which implies prediction of sizedependent effects in microbeam resonators. The Hamilton principle has yielded coupled nonlinear thermoelastic PDEs governing dynamics of the Timoshenko microbeams for both plane stresses and plane deformations. Nonlinear thermoelastic vibrations are studied analytically and numerically and quality factors of the resonators versus geometric and material microbeam properties are estimated. Results are presented for gold microbeams for different ambient temperatures and different beam thicknesses, and they are compared with results yielded by the classical theory of elasticity in linear/nonlinear cases.

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Design of composite structures with extremal elastic properties in the presence of technological constraints

Cited by 10 publications

References 21 publications

Decreasing Shear Stresses of the Solder Joints for Mechanical and Thermal Loads by Topological Optimization

Decreasing Shear Stresses of the Solder Joints for Mechanical and Thermal Loads by Topological Optimization

Topological Optimization of Interconnection of Multilayer Composite Structures

Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory

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