A Numerical Model for the Elastic Frictionless Contact of Real Rough Surfaces

Webster, M. N.; Sayles, R.S.

doi:10.1115/1.3261185

Cited by 206 publications

(52 citation statements)

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“…In the most sophisticated models the contacts between the rough surfaces are assumed to occur at the surface asperities, and in many cases their interaction is assumed to be purely elastic [1,11,12,13]. Attempts to describe plastic deformation at the asperities can be found in several articles [2,14,15,16].…”

Section: Review Of Progress In Quantitative Nondestructive Evaluationmentioning

confidence: 99%

“…Quite different approaches have been developed to model the elasto-plastic behavior of rough surfaces in contact [1,2,5,11,12,13,14,15,16]. In the most sophisticated models the contacts between the rough surfaces are assumed to occur at the surface asperities, and in many cases their interaction is assumed to be purely elastic [1,11,12,13].…”

Section: Review Of Progress In Quantitative Nondestructive Evaluationmentioning

confidence: 99%

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On the Relationship Between Ultrasonic and Micro-Structural Properties of Imperfect Interfaces in Layered Solids

Baltazar

Rokhlin

Pecorari³

1999

Review of Progress in Quantitative Nondestructive Evaluation

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Section: Review Of Progress In Quantitative Nondestructive Evaluationmentioning

confidence: 99%

Section: Review Of Progress In Quantitative Nondestructive Evaluationmentioning

confidence: 99%

On the Relationship Between Ultrasonic and Micro-Structural Properties of Imperfect Interfaces in Layered Solids

Baltazar

Rokhlin

Pecorari³

1999

Review of Progress in Quantitative Nondestructive Evaluation

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“…A more recent approach by Webster and Sayles [15] uses digitised roughness data from a surface profilometer. Two dimensional, elastic contact is then modelled between this surface and a smooth surface.…”

Section: Numerical Contact Modelsmentioning

confidence: 99%

The Interaction of Ultrasound with a Partially Contacting Solid-Solid Interface in the Low Frequency Regime

Drinkwater

Dwyer-Joyce

Cawley

1997

Review of Progress in Quantitative Nondestructive Evaluation

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INTRODUCTIONWhen real engineering surfaces touch, contact occurs between the asperities of the surface roughness. Forthis reason the true area of contact between components can be significantly less than the apparent contact area and the stresses at the asperities are considerably higher than the average (nominal) contact pressure. Measurement ofthe degree of contact between solids is important in a number of applications such as the design of contacting elements (e.g. gears and bearings) [1] and the detection of 'kissing' bonds [2].The proportion of the amplitude of the incident uhrasonie wave reflected at a solid-solid interface is dependent on, amongst other things, the degree of contact between the two surfaces. This is because where asperity contact occurs the ultrasonic wave is transmitted across the interface and where the asperities arenot in contact (i.e. an air gap exists) negligible energy is transmitted. When no Ioad is applied across the interface the percentage contact will be low and so the energy transmitted across the interface will be low. As the applied Ioad is increased, the transmission of uhrasound across the interface will increase as the percentage contact increases. The proportion ofthe amplitude ofthe uhrasonie wave which is reflected, termed the reflection coefficient, can therefore be used to interrogate a partially contacting interface and to extract some information about the degree of contact. This paper describes the use of low frequency longitudinal uhrasonie waves to interrogate the partially contacting interface between two rough aluminium specimens. Firstly, experimentswill be described which were performed to validate the use of spring models to describe the interaction of ultrasound with partially contacting solid-solid interfaces. Secondly, contact modelswill be described which allow the interfaceial stiffness of a solid-solid interface to be predicted. The predictions obtained using this model are then compared to experiment. MODELLING THE REFLECTION OF ULTRASOUND FROM SOLID-SOLID INTERFACES USING SPRING MODELSIfthe wavelength ofthe ultrasonic wave is comparable to the sizes ofthe air gaps in the plane ofthe interface then complex scattering phenomena occur [3] in which resonances are set up between neighbouring gaps. In this wavelength regime the precise shape of each air gap can significantly affect the scattered field and hence the proportions of energy reflected and transmitted. This is, therefore, not a useful regime in which to study the contact. Ifthe wavelength is increased further until it is large compared to the sizes ofthe air gaps then the proportions of the ultrasonic wave transmitted and reflected are no Ionger dependent on the exact shape and size of each air gap but on the stiffness, and to a small extent on the effective mass and damping ofthe interface. Ifthe sizes ofthe gaps are in the range 5-50!-lm then a wavelength of above 500!-lm is required to operate in this long wavelength region. This corresponds to a frequency ofbelow 13MHz in aluminium. The ...

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“…This is based on the two-dimensional, elastic contact model of Webster & Sayles [4]. As the graphite was known to be linear elastic over a large strain range, it was felt unnecessary to include any plasticity effects in its modelling.…”

Section: Theoretical Workmentioning

confidence: 99%