Interface mismatch eigenstrain of non-slipping contacts between dissimilar elastic solids

Ma, Lifeng; Korsunsky, Alexander M.

doi:10.1016/j.ijsolstr.2022.111760

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…The above governing equations for the frozen-in constant are one of the key results of a recent publication by Ma & Korsunsky (2022). Once the constant has been calculated, the magnitude of the interface mismatch eigenstrain according to Eq.…”

Section: Line Load As a Function Of The Contact Half-width: Solution ...mentioning

confidence: 99%

“…Chen & Gao (2006) considered the non-slipping adhesive contact of an elastic cylinder on a stretched substrate and derived a solution in form of integrals which were subsequently evaluated numerically. In a recent paper, Ma & Korsunsky (2022) provide complete solutions in the form of integrals also for the non-slipping normal contact between two elastic bodies whose initial gap is characterized by a monomial function. One of their key results is the frozen-in constant or the so-called interface mismatch eigenstrain, for which they provide integrals including its approximate solutions.…”

Section: Introductionmentioning

confidence: 99%

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Some remarks on the two-dimensional contact of dissimilar elastic solids under non-slipping boundary conditions

Heß

2023

Rep. Mech. Eng.

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Spence's self-similarity approach is often preferred to an incremental method for solving plane, non-slipping normal contacts of dissimilar elastic solids under progressive loading. The number of plane contact problems solved in this way so far is nevertheless very limited, since explicit expressions especially for the pressure distribution and the tangential tractions within the contact area require the solution of complicated singular integral equations. In contrast, the application of the incremental method leads to much simpler integral equations, which are derived here and applied to solve some new non-slipping contact problems including the one characterized by an initial power-law gap profile function. The incremental method is also capable to determine the so-called interface mismatch eigenstrain. In Spence's method, however, the determination of its magnitude represents a mandatory step within the solution procedure. By means of a comprehensive comparison of both methods this work provides new insights into the solution of non-slipping plane normal contact problems including explicit analytical solutions for the interface mismatch eigenstrain.

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Section: Line Load As a Function Of The Contact Half-width: Solution ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Some remarks on the two-dimensional contact of dissimilar elastic solids under non-slipping boundary conditions

Heß

2023

Rep. Mech. Eng.

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“…Knowing that the material eigen matrices (A 1 , B 1 ) for the upper contact body S 1 and (A 2 , B 2 ) for the lower contact body S 2 can be determined from their associated material properties, the only unknown functions to be determined are the holomophic complex function vectors f 1 (z) and f 2 (z). To find these complex functions satisfying the boundary conditions (3), we can employ the analytical continuation method due to its obvious advantage in solving contact problems [25,[28][29][30]. Following the concept of this method, we may introduce a sectional holomorphic function Θ ′ (z) related to the derivatives of the complex function vector f 1 (z) and f 2 (z) by…”

Section: A Full-field Solutionmentioning

confidence: 99%

Adhesive contact between two-dimensional anisotropic elastic bodies

Duc,

Thuong

2023

Vietnam J. Mech.

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Adhesion plays a vital role in the design of smart and intelligent high-tech devices such as modern optical, microelectromechanical, and biomedical systems. However, in the literature, adhesive contact is mostly considered for contact of rigid substrates and transversely isotropic and isotropic elastic materials. The composite materials are increasingly used in the mart and intelligent high-tech devices. Since the composite materials are generally anisotropic and contact bodies are all deformable, it is more practical to consider the adhesive contact of two anisotropic elastic materials. In this paper, an adhesive contact model of anisotropic elastic bodies is established, and the closed-form solutions for two-dimensional adhesive contact of two anisotropic elastic bodies are derived. The full-field solutions and the relation for the contact region and applied force are developed using the Stroh complex variable formalism, the analytical continuation method, and concepts of the JKR adhesive model. We will show that the frictionless contact of two anisotropic elastic materials is just a special case of the present contact problem, and its solutions can be obtained by setting the work of adhesion equal to zero. In addition, we also show that our present solutions are valid for the problems of indentation by a rigid punch on an elastic half-space through a proper placement of the contact radius and the corresponding material constant. Numerical results are provided to demonstrate the accuracy, applicability, and versatility of the developed solutions.

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