Determination of the relaxation function for viscoelastic materials at low velocity impact

Kren, A. P.; Naumov, A. O.

doi:10.1016/j.ijimpeng.2009.08.001

Cited by 15 publications

(10 citation statements)

References 11 publications

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“…(7.44) was previously considered in a number of studies on indentation of viscoelastic materials [49,61]. Substituting the expression (7.42) into the right-hand side of Eq.…”

Section: Modified Incomplete Storage Shear Modulus and Loss Anglementioning

confidence: 99%

Articular Contact Mechanics

Argatov

Mishuris

2015

Advanced Structured Materials

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In this chapter, an asymptotic modeling methodology for tibio-femoral contact is developed, based on the asymptotic models of frictionless unilateral contact interaction between thin cartilage layers. In Sect. 7.1, the normal contact forces, which are needed for multibody dynamics simulations, are determined analytically based on the exact solution for elliptical contact between thin cartilage layers generally modeled as viscoelastic incompressible layers. In Sect. 7.2, the equivalent HuntCrossley model for articular contact is developed in the framework of the short-time contact model for thin bonded biphasic layers.

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“…(7.44) was previously considered in a number of studies on indentation of viscoelastic materials [49,61]. Substituting the expression (7.42) into the right-hand side of Eq.…”

Section: Modified Incomplete Storage Shear Modulus and Loss Anglementioning

confidence: 99%

Articular Contact Mechanics

Argatov

Mishuris

2015

Advanced Structured Materials

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“…To check the elastic modulus E and hardness of an IPG material by introducing an indenter in the form of sphere into it, we can use the known relations [1][2][3] …”

Section: Theoretical Partmentioning

confidence: 99%

Complex of Devices for Determining the Physical and Mechanical Properties of the Carbon Materials Used in the Rocket and Space Technology by the Impact Indentation Method

2015

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“…If the contact force is treated via the modified Hertz law, then for investigating the impact response of any viscoelastic structure it is necessary to substitute the coefficient of rigidity of k in the formula for the contact force in the Hertzian contact law by the operator involving the operator representation of viscoelastic analogs of Young's modulus and Poisson's ratio. Instead of this operation, some researchers prefer to change the coefficient of rigidity k by the integral operator with a certain kernel of heredity (Jonson 1985;Kren and Naumov 2010;Phillips and Calvit 1967).…”

Section: Introductionmentioning

confidence: 99%

Modelling of the collision of two viscoelastic spherical shells

Rossikhin

Shitikova

Manh

2016

Mech Time-Depend Mater

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In the present paper, the collision of two viscoelastic spherical shells is investigated using the wave theory of impact. The model developed here suggests that after the moment of impact quasi-longitudinal and quasi-transverse shock waves are generated, which then propagate along the spherical shells. The solution behind the wave fronts is constructed with the help of the theory of discontinuities. Since the local bearing of the materials of the colliding viscoelastic shells is taken into account, the solution in the contact domain is found via the modified Hertz contact theory involving the operator representation of viscoelastic analogs of Young's modulus and Poisson's ratio. The collision of two elastic spherical shells is considered first, and then using Volterra correspondence principle, according to which the elastic constants in the governing equations should be replaced by the corresponding viscoelastic operators, the solution obtained for elastic shells is extended over the case of viscoelastic shells.

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Determination of the relaxation function for viscoelastic materials at low velocity impact

Cited by 15 publications

References 11 publications

Articular Contact Mechanics

Articular Contact Mechanics

Complex of Devices for Determining the Physical and Mechanical Properties of the Carbon Materials Used in the Rocket and Space Technology by the Impact Indentation Method

Modelling of the collision of two viscoelastic spherical shells

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