Microstructural effects on the response of a multi-layered elastic substrate

Wongviboonsin, Wipavee; Le, Toan Minh; Lawongkerd, Jintara; Gourgiotis, P.A.; Rungamornrat, Jaroon

doi:10.1016/j.ijsolstr.2021.111394

Cited by 9 publications

(2 citation statements)

References 74 publications

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“…[4][5][6][7]). The couple stress theory has been successfully employed recently to model microstructured materials and pertinent size effects in various areas such as fracture [8][9][10][11], contact [12][13][14][15][16][17], stress/strain localization [18][19][20][21], and wave propagation problems [22,23].…”

Section: Introductionmentioning

confidence: 99%

An Isogeometric Boundary Element Formulation for Stress Concentration Problems in Couple Stress Elasticity

Hattori

Trevelyan

Gourgiotis

2022

Preprint

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Section: Introductionmentioning

confidence: 99%

An Isogeometric Boundary Element Formulation for Stress Concentration Problems in Couple Stress Elasticity

Hattori

Trevelyan

Gourgiotis

2022

Preprint

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“…Muki and Sternberg 6 first applied the theory to investigate the role of couple stresses on the response of an elastic half plane under surface loads and simple contacts. Since then, studies have been significantly expanded to handle more complex scenarios including indentation problems [32][33][34][35][36][37] and layered media [38][39][40][41][42] . The nontrivial extension to three-dimensional cases has also been documented [43][44][45][46] .…”

mentioning

confidence: 99%

Elastic solution of surface loaded layer with couple and surface stress effects

Lawongkerd

Wongviboonsin

et al. 2023

Sci Rep

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In this study, an elastic solution of an axisymmetrically surface-loaded thin layer resting on a rigid substrate is established by taking the surface stress and material microstructural effects into account. Derived solutions provide not only a means to investigate the size effects on the mechanical response but also a set of fundamental solutions essential for tackling contact problems in a micro/nano scale. In the formulation, the couple stress and surface elasticity theories are adopted to simulate the microstructured bulk layer and the surface material, respectively. A general solution of an elastic field within the bulk layer is obtained first by Hankel transform method and subsequently used together with the surface equations and boundary conditions to form a set of conditions essential for determining all unknown constants. After being fully tested with available benchmark solutions, results are used to study the role of surface and couple stresses on the load transferring mechanism to the substrate and its size-dependent characteristic for a wide range of external length scales relative to the internal length scales.

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