Frictionless contact of an elastic punch subject to the normal load and bending moment

A two-dimensional contact problem of a trapezium shaped punch pressed into a frictionless, elastically similar half-plane and subject sequentially to the normal load and bending moment is considered. The model of a tilted flat punch is used to evaluate the pressure distribution and the contact defor...

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Published inJournal of applied mechanics and technical physics Vol. 57; no. 2; pp. 359 - 368
Main Authors Jiang, X., Shao, G., Zhu, L.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2016
Subjects
Applications of Mathematics
Bending moments
Classical and Continuum Physics
Classical Mechanics
Contact
Contact pressure
Finite element method
Fluid- and Aerodynamics
Frictionless contact
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Punches
asymptotic solution
receding contact
complete contact
tilted punch
Online AccessGet full text
ISSN0021-8944
1573-8620
DOI10.1134/S0021894416020206

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Abstract A two-dimensional contact problem of a trapezium shaped punch pressed into a frictionless, elastically similar half-plane and subject sequentially to the normal load and bending moment is considered. The model of a tilted flat punch is used to evaluate the pressure distribution and the contact deformation within the contact zone. Comparisons of the results generated by the analytical technique to those computed by the finite element method demonstrate the high level of accuracy attained by both methods. The presented numerical results illustrate the effects of the normal load, bending moment, and internal angles of the punch geometry on the contact stresses.
AbstractList A two-dimensional contact problem of a trapezium shaped punch pressed into a frictionless, elastically similar half-plane and subject sequentially to the normal load and bending moment is considered. The model of a tilted flat punch is used to evaluate the pressure distribution and the contact deformation within the contact zone. Comparisons of the results generated by the analytical technique to those computed by the finite element method demonstrate the high level of accuracy attained by both methods. The presented numerical results illustrate the effects of the normal load, bending moment, and internal angles of the punch geometry on the contact stresses.
Author Jiang, X.
Shao, G.
Zhu, L.
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  surname: Zhu
  fullname: Zhu, L.
  organization: State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University
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10.1016/j.ijsolstr.2006.03.030
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10.1016/j.ijsolstr.2008.04.006
10.1016/S0022-5096(01)00091-6
10.1016/S0020-7403(01)00005-4
10.1016/j.ijmecsci.2006.09.020
10.1016/j.ijmecsci.2005.01.006
10.1007/978-94-009-9127-9
10.1016/S0142-1123(99)00068-7
10.1017/jmech.2014.74
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Keywords asymptotic solution
receding contact
complete contact
tilted punch
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Snippet A two-dimensional contact problem of a trapezium shaped punch pressed into a frictionless, elastically similar half-plane and subject sequentially to the...
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SubjectTerms Applications of Mathematics
Bending moments
Classical and Continuum Physics
Classical Mechanics
Contact
Contact pressure
Finite element method
Fluid- and Aerodynamics
Frictionless contact
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Punches
Title Frictionless contact of an elastic punch subject to the normal load and bending moment
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