On slip and memory rules in elastic, friction contact problems

Jarzȩbowski, A.; Mróz, Z.

doi:10.1007/bf01178527

Cited by 21 publications

(6 citation statements)

References 7 publications

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“…Only velocity-independent friction effects are considered and both normal and tangential elastic contact compliances are neglected. The present formulation will therefore provide a description of advanced sliding when the contact interface reaches its steady-state for the specified normal pressure (or "critical state", in the terminology of Jarz~bowski and Mr6z (1994). Also the hysteretic effects occurring during cyclic loading are not accounted for.…”

Section: Z Mr6zmentioning

confidence: 99%

Contact Friction Models and Stability Problems

Mróz

2002

Friction and Instabilities

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The present lecture notes are devoted to two important aspects of contact interaction, namely the constitutive modelling of slip and friction rules and stability conditions. In considering normal and tangential contact tractions and the conjugate elastic and slip displacements, only elasticfrictional response is considered, thus neglecting plastic asperity interaction and the related phenomena of asperity flattening or crushing. However, the anisotropy of contact asperities was accounted for and the respective frictional slip and wear rules are considered. Next, for a nonuniform contact interaction, the evolution of slip zones is discussed for two simple cases of an elastic strip interacting with the frictional foundation and two interacting spheres under normal and tangential loading. The slip and memory rules require introduction of consecutive active loading and memory surfaces in order to describe properly the friction hysteresis phenomena. The description is very similar to that used in the plasticity theory for modelling elasto-plastic cyclic response of materials.The contact stability conditions are expressed in terms of potential energy and dissipation functions. The application of these conditions is presented for simple elastic structures interacting with frictional surfaces. The analysis of stability of different models of contact friction is presented in the last part of these notes.

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Section: Z Mr6zmentioning

confidence: 99%

Contact Friction Models and Stability Problems

Mróz

2002

Friction and Instabilities

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“…The shear stress r of the elastic beam and shear stress rfofcohesive layer form a self-balanced system as that described in Jarzebowski and Mroz (1994). Writing the equilibrium equation for the elastic beam interacting with the interface cohesive layer as A dr + brf = 0 (5) dx where A =bt denotes the transverse cross section area.…”

Section: Double-shear-plates Bonded By Cohesive Layermentioning

confidence: 99%

An interfacial mechanical model for the analysis of earthquake

Shen

Mróz

2000

Acta Seimol. Sin.

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In this paper, the shear beam model for analysis of interface failure under joint action of anti-plane shearing and lateral compression and its principal behavior were briefly introduced. The calculation of energy release that is related to the strength of earthquake was presented by using the shear beam model. The sudden increase of load resulted from the "stress locking" at the interface layer in the reloading process was investigated. At the end of the paper, discussions on the mechanism of earthquake were given out.

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“…The contact interface issue was under investigation both in laboratory tests [10], [16], [19] and from the modeling point of view [2], [7], [12], [17], [29]. Most of the researchers focus on monotonic loads [11], [25], [26], but cyclic loads, where degradation of the contact surface occur [9], [27] can also be found.…”

Section: Introductionmentioning

confidence: 99%

“…In the presented simulation, the elliptical model defined in the space of contact stresses (σ n , τ n ) was used to describe the material in contact layers. Models with elliptical yield surface were successfully used to describe the behavior of the shear band deformation, which is formed in the rocks [9], [20] and [21]. The evolution of the state of stress and strain in connection with the effects of wear and damage is presented in the paper [19].…”

Section: Introductionmentioning

confidence: 99%

Modelling of Rock Joints Interface under Cyclic Loading

Maciejewski¹,

Bąk

Ciężkowski

2020

Studia Geotechnica Et Mechanica

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The problem of numerical simulation of the material interface response under monotonic and cyclic loading is of fundamental scientific and engineering importance. In fact, such interfaces occur in most engineering and geotechnical structures. The present work is devoted to the deformational response analysis of contact interfaces under monotonic and cyclic loads. The class of materials includes rock and structural joints, soil structure interfaces, masonry and cementitious joints, localized shear bands and so on.The aim of the proposed model is to simulate the cyclic shear test under constant normal load. The associated dilatancy effect is associated with the configurational effects of asperity interaction or dilatancy of wear debris layer. The large primary asperities are assumed as responsible for interfacial dilation and small size asperities as governing frictional sliding and hysteresis response. The elliptic loading yield function is assumed to translate and rotate during progressive or reverse loading events. The model formulation is discussed and confronted with experimental data.

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On slip and memory rules in elastic, friction contact problems

Cited by 21 publications

References 7 publications

Contact Friction Models and Stability Problems

Contact Friction Models and Stability Problems

An interfacial mechanical model for the analysis of earthquake

Modelling of Rock Joints Interface under Cyclic Loading

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