Microstructure size-dependent contact behavior of a thermoelectric film bonded to an elastic substrate with couple stress theory

Zhou, Yueting; Tian, Xiaojuan; Ding, Shenghu

doi:10.1016/j.ijsolstr.2022.111982

Cited by 14 publications

(3 citation statements)

References 47 publications

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“…Several mechanical models were developed for the three-dimensional analysis [29] and double-film case [30]. Furthermore, when applied in MEMS or electrostatically actuated micropumps, the size of films can reach a micro-or even nanoscale, and thus, the theoretical model was developed to consider the size effect [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

On the Thermally Induced Interfacial Behavior of Thin Two-Dimensional Hexagonal Quasicrystal Films with an Adhesive Layer

Dang,

Zhang,

Fan

et al. 2024

Coatings

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The mechanical response of a quasicrystal thin film is strongly affected by an adhesive layer along the interface. In this paper, a theoretical model is proposed to study a thin two-dimensional hexagonal quasicrystal film attached to a half-plane substrate with an adhesive layer, which undergoes a thermally induced deformation. A perfect non-slipping contact condition is assumed at the interface by adopting the membrane assumption. An analytical solution to the problem is obtained by constructing governing integral–differential equations for both single and multiple films in terms of interfacial shear stresses that are reduced to a linear algebraic system via the series expansion of Chebyshev polynomials. The solution is compared to that without adhesive layers, and the effects of the aspect ratio of films, material mismatch, and the adhesive layer, as well as the interaction between films, are discussed in detail. It is found that the adhesive layer can soften the localized stress concentration. This study is instructive to the accurate safety assessment and functional design of a quasicrystal film system.

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Section: Introductionmentioning

confidence: 99%

On the Thermally Induced Interfacial Behavior of Thin Two-Dimensional Hexagonal Quasicrystal Films with an Adhesive Layer

Dang,

Zhang,

Fan

et al. 2024

Coatings

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“…Thermocouples can convert temperature differences into electrical potential and vice versa. Power generation and refrigeration are among the first applications of thermoelectric materials because of their environmental friendliness and durability [1]. Thermoelectric coupling research has attracted much interest from the theoretical, experimental, and computational research communities.…”

Section: Introductionmentioning

confidence: 99%

Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory

2023

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This article offers the first investigation into the thermoelectric vibration of microscale Euler‐Bernoulli beams resting on an elastic Winkler base. We developed the system of equations for thermoelastic microbeams using elastic basis theory and the generalized Moore–Gibson–Thompson (MGT) thermal transport framework with a single‐phase delay. At the front of the microbeam, a graphene strip connected to an electrical power source was employed to generate heat. In addition, the influence of an ultra‐short‐pulsed laser on the vibration of a microbeam is studied, taking into account its heating effect. The microbeam system variables were analyzed after solving the mathematical equations by applying the Laplace transform technique. Graphs showing how different inputs affect different mechanical fields, such as Winkler substrate stiffness, voltage, electrical resistance, and temperature modulus pulses, are also presented. An increase in the Winkler modulus and the shear modulus of the foundation was found to decrease the amount of deflection and axial deformation in the microbeams. The increased beam stiffness has resulted in this decrease.

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“…Furthermore, it has also been proven to be able to predict size-dependent behavior of micro-sized beam and plate problems, such as functionally graded beams [38], functionally graded Kirchhoff and Mindlin plates [39], micro- and nano-beams [40], and sandwich beams with prismatic cores [41]. It has been also used for modeling the response of thin films film resting on a couple-stress substrate at the microscale in Zhou et al [42], but only classical tractions and no couple tractions were assumed to be exchanged between the film and the substrate.…”

Section: Introductionmentioning

confidence: 99%

Couple-stress effects in a thin film bonded to a half-space

Güler,

Alinia,

Radi

2023

Mathematics and Mechanics of Solids

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This study investigates the contact mechanics of a thin film laying on an elastic substrate within the context of couple-stress elasticity. It aims to introduce the effects of material internal length scale, which has proven an effective way of modeling structures at micro- to nano-scales, allowing to capture their size-dependent behavior. Specifically, stress analysis for a thin film bonded to a couple-stress elastic half-space is considered under plane strain loading conditions by assuming that both shear stress and couple tractions are exchanged between the thin film and the substrate. The problem is converted to a singular integral equation, which is solved by expanding the shear stress tractions as a Chebyshev series. The results show that the introduction of couple tractions decreases the shear stress tractions and the axial load in the thin film. When the characteristic length is sufficiently small, but still finite, the results for classical elastic behavior are approached.

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Microstructure size-dependent contact behavior of a thermoelectric film bonded to an elastic substrate with couple stress theory

Cited by 14 publications

References 47 publications

On the Thermally Induced Interfacial Behavior of Thin Two-Dimensional Hexagonal Quasicrystal Films with an Adhesive Layer

On the Thermally Induced Interfacial Behavior of Thin Two-Dimensional Hexagonal Quasicrystal Films with an Adhesive Layer

Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory

Couple-stress effects in a thin film bonded to a half-space

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