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20102017
most citedHow to define the storage and loss moduli for a rheologically nonlinear material?

18 citations · 26 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.AP2015★ 2 cited

Asymptotic modeling of the JKR adhesion contact for a thin elastic layer

I. I. Argatov, G. S. Mishuris, V. L. Popov

The Johnson--Kendall--Roberts model of frictionless adhesive contact is extended to the case of a thin transversely isotropic elastic layer bonded to a rigid base. The leading-orde…

math.AP2015

An asymptotic model for a thin bonded elastic layer coated with an elastic membrane

Ivan Argatov, Gennady Mishuris

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic mate…

math.AP2013

Atomic force microscope based indentation stiffness tomography - An asymptotic model

Ivan Argatov

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of…

math.AP2012★ 1 cited

Sinusoidally-driven unconfined compression test for a biphasic tissue

Ivan Argatov

In recent years, a number of experimental studies have been conducted to investigate the mechanical behavior of water-saturated biological tissues like articular cartilage under dy…

math.AP2012★ 1 cited

Asymptotic analysis of the substrate effect for an arbitrary indenter

I. I. Argatov, F. J. Sabina

A quasistatic unilateral frictionless contact problem for a rigid axisymmetric indenter pressed into a homogeneous, linearly elastic and transversely isotropic elastic layer bonded…

math.AP2012

Contact problem for a thin elastic layer with variable thickness: Application to sensitivity analysis of articular contact mechanics

Ivan Argatov

In the framework of the recently developed asymptotic models for tibio-femoral contact incorporating frictionless elliptical contact interaction between thin elastic, viscoelastic,…