An inextensible membrane at the interface of a transversely isotropic bi-material full-space

Kalantari, Maziar; Khojasteh, Ali; Mohammadnezhad, Hamid; Rahimian, M.; Pak, Ronald Y. S.

doi:10.1016/j.ijengsci.2015.02.004

Cited by 10 publications

(3 citation statements)

References 30 publications

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“…They presented analytical expressions for special cases such as inextensible thin film and studied surface stiffened half-space as well. Withal transversely bi-material full space strengthened by an inextensible membrane is formulated by Kalantari et al [46]. With axisymmetric and plane stress considerations, Rahman and Newaz [47] derived the equivalent boundary conditions for an isotopic thin film layer and then solved a semi-infinite isotropic solid whose surface is reinforced by an isotropic thin film and acted upon by an axial ring loading.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Thin Membrane Coated Half-Space under Arbitrary Buried Loads

Jarfi,

Eskandari

2024

Scientia Iranica

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Section: Introductionmentioning

confidence: 99%

Analysis of a Thin Membrane Coated Half-Space under Arbitrary Buried Loads

Jarfi,

Eskandari

2024

Scientia Iranica

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“…Ahmadi and Eskandari [10] studied the rocking rotation of a rigid disc embedded in a transversely isotropic half-space. Kalantari et al [11] presented an analytical solution for lateral interaction of a rigid disc embedded in a transversely isotropic full-space in the dynamic case. Pan et al [12] presented a novel semi-analytical and efficient method to calculate the soil-structure interaction coefficients on the layered foundation due to both vertical and torsional vibrations.…”

Section: Introductionmentioning

confidence: 99%

Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space

Kalantari

Khaji

Eskandari‐Ghadi

2020

Mathematics and Mechanics of Solids

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Recent studies have confirmed that rockable structures have beneficial effects in earthquakes due to uniform dynamic behavior of the structure. For these kinds of structures, an equivalent static analysis is accurate enough, as the rocking motion is the dominant mode of their interaction with the surrounding soil (i.e. soil–structure interaction problem). In this study, the soil–structure interaction problems are extended to consider the effect of elastic non-homogeneities as well as changing the elasticity constants with depth in an exponential manner for the rocking loads. This paper analytically investigates the mixed boundary value problem regarding the forced rocking interaction of a rigid foundation embedded in a finite depth of an exponentially graded transversely isotropic half-space. The potential function method accompanied by Hankel integral transforms is applied to solve the system of the equations of motion of the media. Due to integral transforms used in the solving procedure, the mixed boundary value problem raised may be apt to be transformed to dual integral equations, which in turn, could be reduced to Fredholm integral equation of the second kind. To evaluate the solution of the integral equations, a robust numerical procedure has been developed for different anisotropic materials. Regarding the complicated integrand functions, the integrals are numerically and graphically presented to cover the effect of degree of change of material properties that plays a key role.

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“…Most of relevant early work on indentation of material systems reinforced with a single stiffer layer has been focused on theoretical work for the understanding of mechanics related to geomechanics and foundation engineering due to the large relative in‐plane dimension and thickness ratio of the layers in these material systems . Selvadurai studied the problem of the axisymmetric Boussinesq–Sneddon–Harding indentation problem for an isotropic elastic half space reinforced with an inextensible membrane that is placed at a finite depth from the surface.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Poisson's Ratio on the Indentation Behavior of Materials With Embedded System in an Elastic Matrix

Al-Badani

et al. 2017

Physica Status Solidi (b)

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Soft materials with an embedded stiffer layer are increasingly used in medical and sports engineering. A detailed understanding of the mechanical behavior of such a material system under localised load and resistance to indentation is very important. In this work, the deformation of an isotropic soft matrix with a buried stiffer thin layer under a circular flat indenter was investigated through finite element (FE) modeling. A practical approach in simulating the indentation resistance of such a system (soft matrix with a buried thin stiffer layer) is evaluated. The numerical result is correlated with the data based on analytical approaches for both homogeneous materials and elastic half space with an embedded stiffer layer. The influence of Poisson's ratio and auxeticity of the matrix on the deformation and indentation stiffness of the material system under different conditions (indenter size, sheet thickness, and embedment depth) were established and main influences of the Poisson's ratio on the material deformation and stresses are discussed. The result shows that the influence of matrix auxeticity on indentation resistance is highly depth dependent, with over 30% enhancement of the indentation resistance being predicted for materials with matrix of a negative Poisson's ratio.

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An inextensible membrane at the interface of a transversely isotropic bi-material full-space

Cited by 10 publications

References 30 publications

Analysis of a Thin Membrane Coated Half-Space under Arbitrary Buried Loads

Analysis of a Thin Membrane Coated Half-Space under Arbitrary Buried Loads

Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space

The Effects of Poisson's Ratio on the Indentation Behavior of Materials With Embedded System in an Elastic Matrix

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