A full numerical solution for the elastic contact of three-dimensional real rough surfaces

Ju, Yongqing; Liu, Zheng

doi:10.1016/0043-1648(92)90193-c

Cited by 60 publications

(18 citation statements)

References 6 publications

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“…Finally, Eq. (8) expresses that at a specific point either contact will occur or the contact pressure will be zero. A more detailed description of the fundamental problem formulation can be found in [12].…”

Section: Continuous Problem Formulationmentioning

confidence: 99%

“…With respect to the discretization of the contact conditions, the latter paper describes two possible approaches, a nodal one that enforces Eq. (6) to (8) at each finite-element node and an integral one that enforces the condition in an average sense over the contacting face of each finite-element. In the present work the integral approach is used.…”

Section: Finite-element Discretizationmentioning

confidence: 99%

“…[8], [9] and [10], [11] respectively. The present work includes implementation details and applications of a finite-element based model, that is capable of calculating the deformations, the contact pressure distribution and the real contact area between flat rough surfaces of two elasto-plastic bodies that are in contact under normal loading.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Implementation and applications of a finite-element model for the contact between rough surfaces

Poulios

Klit

2013

Wear

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Section: Continuous Problem Formulationmentioning

confidence: 99%

Section: Finite-element Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Implementation and applications of a finite-element model for the contact between rough surfaces

Poulios

Klit

2013

Wear

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“…Majumdar and Bhushan [5,6] developed a fractal model and successfully applied it to the contact problem regarding the magnetic disk and the flying head. All the researches mentioned above, as well as the other studies including the deterministic approach of Ju and Zheng [7] and Horng's [8] microcontact model, were developed without the consideration of substrate deformation. On the other hand, Wilson and Sheu [9], Sutcliffe [10], and Korzekwa et al [11] developed an upper-bound analysis, a slip-line field, and a finite element calculation, respectively, to treat the smoothing problems in metal-forming process where the substrate (bulk) straining significantly reduces the resistance of roughness to flattening.…”

Section: Introductionmentioning

confidence: 99%

Effects of Surface Roughening on Asperity Flattening

Yang

Shih

et al. 2009

Tribol Lett

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A series of experiments have been conducted using aluminum strips, which manifest a strong tendency toward roughening in forming processes, to investigate the evolvement of surface roughness and its resistance to flattening. The strips are stretched to specific bulk strains and are then compressed by a smooth glass at various pressures. It is found that except for very high bulk strain, the free surface on the transverse specimen roughens more seriously and irregularly than the longitudinal one due to the fierce rotations of grains, which make the grains parallel to the straining direction and eventually mutate the topography into an isotropic one. As the roughened surface is compressed, the transverse specimen may roughen further in the case of large bulk strain. According to the finite element method (FEM) analysis using serrated surfaces, the sharper asperity undergoes more serious straining on its peak and basically such a strain increment is not affected by the degree of flattening. The ability to resist flattening, defined as the ''asperity hardness,'' varies with asperity angle as well as the enhanced shear strength on the asperity tip, rather than the substrate. A new quantitative description of the asperity hardness is suggested, and the new calculated contact area ratios are in good agreement with the experiments except for very high pressure where additional mechanics such as adiabatic recrystallization might happen. The concept of the additional hardening on asperity peaks can be employed to refine the prediction of asperity contact in the analysis of metal forming.

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“…Numerous models have been developed for asperity contact [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Most of them deal with the static equilibrium solution in pure flattening either with or without the friction stress at the interface.…”

Section: Introductionmentioning

confidence: 99%

Contact simulation for predicting surface topography in metal forming

Yang

2006

Tribol Lett

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A surface contact model that takes account of flattening, roughening and tool elastic microwedge effects on workpiece surface is developed. The model can be implemented in FEM codes to predict the final surface qualities of the products in metal forming. As an example, the proposed model has been combined with a membrane finite element code of sheet metal forming process to predict the contact area ratio, surface roughness and mean asperity spacing. Numerical results showed good agreement with the experiments. KEY WORDS: contact model, asperity flattening, roughening, microwedge, metal forming Nomenclatures A contact area ratio (fractional contact area) @A increasing rate of contact area ratio; dA/dt @A S component of @A induced by smoothing effect @A M component of @A induced by microwedge effect @A R component of @A induced by roughening effect B geometric matrix c adhesion coefficient C coefficient of microwedge model C R coefficient of surface roughening model d distance between original surface centerline of workpiece and tool surface dA 0 differential undeformed area D nondimensional distance between original surface centerline of workpiece and tool surface; nondimensional gap D m material matrix D p AKDP E Young's modulus of tool material E t tangent modulus of workpiece E w

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A full numerical solution for the elastic contact of three-dimensional real rough surfaces

Cited by 60 publications

References 6 publications

Implementation and applications of a finite-element model for the contact between rough surfaces

Implementation and applications of a finite-element model for the contact between rough surfaces

Effects of Surface Roughening on Asperity Flattening

Contact simulation for predicting surface topography in metal forming

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