Concept of Equivalent Load for Stiffness and Its Application

Kim, Chee Kyeong; Kim, Yeong Min; Kim, Tae-Jin

doi:10.1061/(asce)0733-9445(2008)134:3(458)

Cited by 5 publications

(3 citation statements)

References 8 publications

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“…The elastic energy of a material is represented by a threedimensional Taylor expansion of the displacements, whereby first and second derivatives of the displacements are considered. Mindlin [15] suggested the rotational invariant expression 𝑤 = (5) for the energy density, where…”

Section: Delamination At a Critical Energy Density Of Strain Gradient...mentioning

confidence: 99%

“…In conclusion, a methodology of measuring the adhesion energy is desired, which is equally valid for elastic and plastic deformations. For this purpose, a method of equivalent loads [5] is elaborated here, which compares CSN experiments [6] with peel tests. The advantage of peel tests is that a selfsimilarity of the geometry during peeling can be observed, and therefrom an energy balance equation is obtained.…”

Section: Introductionmentioning

confidence: 99%

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Delamination Criteria for SiN/TiW Interfaces Tested by Cross-Sectional Nanoidentation and by Four Point Bending

Lederer

Walter

Zareghomsheh

et al. 2022

J. Phys.: Conf. Ser.

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Interfaces between different material layers are potentially weakest links of microelectronic devices. Therefore, reliable criteria for delamination of structures are required as prerequisite of design optimization. In the present article, delamination of adjacent material layers is studied experimentally and by FEM simulation. An interface between SiN and TiW was delaminated by Cross-Sectional Nanoindentation (CSN) and by Four Point Bending. The adhesion energy observed during CSN is determined by FEM simulation using a method of equivalent loads, which compares CSN with a peel test. In a second approach, delamination during Four Point Bending is simulated by Mixed Finite Elements based on Strain Gradient Elasticity. The Mixed Elements were implemented in ABAQUS with user subroutine UEL. In this approach, the delamination criterion can be defined with use of a critical elastic energy density. The accordance between experiments and theoretical models is demonstrated.

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Section: Delamination At a Critical Energy Density Of Strain Gradient...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Delamination Criteria for SiN/TiW Interfaces Tested by Cross-Sectional Nanoidentation and by Four Point Bending

Lederer

Walter

Zareghomsheh

et al. 2022

J. Phys.: Conf. Ser.

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“…Then lateral buckling loads of thin‐walled beams are analytically solved by many researchers based on this theory. There are plenty of studies on which lateral buckling characteristics of composite beams were investigated . Many of them considered fiber‐reinforced plastic (FRP) beams.…”

Section: Introductionmentioning

confidence: 99%

Hybridization effects on lateral buckling behavior of laminated composite beams

2015

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The aim of this study is to investigate the influence of hybridization on lateral buckling behavior of composite beams consists of symmetrical and unsymmetrical ply orientations, various cutout shapes, and length/thickness ratio. Carbon, S-glass, and Aramid fibers are used as reinforcement with epoxy resin. Experiments are performed to see the effects of various combinations of fibers on lateral bucking loads with [(0/90) 3 ] s , [(30/-60) 3 ] s , [(45/-45) 3 ] s symmetrical, and [(0/90) 6 ] us unsymmetrical ply orientations. Numerical studies are also performed to see the effects of length/thickness ratio, and various cutout shapes on the lateral buckling loads using finite element analysis software ANSYS. It is concluded that stiffness and shear properties are affecting the lateral buckling characteristics of the composite beams. Also, fibers having higher stiffness and higher shear properties in the upper layers increase the lateral buckling strength. POLYM. COMPOS., 37:2511-2521

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