Analysis of thermo-mechanical wear problems for reciprocal punch slidingAdvances in Engineering Software


I. Páczelt, Z. Mróz
Software / Engineering (all)


bl of ch s d s he w act is a pun vious g and fi cf. Pác cting nt for cal states in the substrate. For the case of reciprocal sliding of punch along a rectilinear path, the steady wear state corresponds to periodic variation of stress and temperature fields in both punch and substrate. More general cases occur when the contact zone Sc moves with respect to both bodies and a steady wear process occurs due to periodic motion of Sc and periodic evolution of olution should be and the av ged wear d

For the case of reciprocal punch sliding motion the stead contact surface shape and pressure can be determined fro respective steady state solution for monotonic sliding. The s examples are related to analysis of punch wear induced by reciprocal sliding along a rectilinear path on an elastic strip. Specifying the steady state contact pressure distributions for an arbitrarily constrained punch, it is noted that the pressure at one contact edge vanishes, and the maximal pressure at the other edge is twice the mean pressure value, cf. [6]. The analysis of the same example with account for heat generation demonstrates that the thermal ⇑ Corresponding author.

E-mail addresses: (I. Páczelt), (Z. Mróz).

Advances in Engineering Software 80 (2015) 139–155

Contents lists availab

Advances in Engin sevWhen the punch translates along a circular (or closed) path on the substrate (such as in pin-on-disk test or in disk brake), the fixed stress and temperature states are reached in the contact zone of punch, combined with the periodic evolution of thermo-mechaniperiodic sliding motion, the steady state cyclic s specified and the averaged pressure in one cycle wear velocity can be determined from the avera tion in one cycle [6]. 0965-9978/ 2014 Civil-Comp Ltd and Elsevier Ltd. All rights reserved.eraged issipay state m the pecificthe contact surface. In particular, the body B1 can be regarded as a punch translating and rotating relative to the substrate B2. When a punch of conforming contact surface slides along a rectilinear path on a substrate, the contact zone is fixed respective to material points of B1 and translates relative to material points of B2. The steady wear state then corresponds to fixed stress and temperature states in the contact zone, translating relative to the substrate. bution in the contact zone then tends to a quasi-steady state related to the actual zone parameters (fast process), next evolving due to variation of geometric zone parameters (slow process).

For cases of monotonic sliding motion the minimization of the wear dissipation power provides the contact pressure distribution and rigid body wear velocities directly without time integration of the wear rule until the steady state is reached, cf. [1–5]. In cases of1. Introduction

The present paper extends the pre wear processes for monotonic slidin of two contacting bodies B1 and B2, the cases of periodic sliding of conta steady state conditions with accouanalyses of steady-state xed loading conditions zelt and Mróz [1–5] to bodies, assuming cyclic the heat generation at thermo-mechanical states (eg. wear of gear teeth or roller bearings).

The concept of a quasi-steady wear state has been proposed in [6,7] for the case of non-conforming contact surface of B1 (such as for parabolic punch or ball sliding on a flat substrate), when both size and form of contact zone varies during the wear process, combined with the shape variation of contact surface. The stress distri-Steady wear state

Shape evolution p-version of the finite element method mal fields.  2014 Civil-Comp Ltd and Elsevier Ltd. All rights reserved.Analysis of thermo-mechanical wear pro punch sliding

I. Páczelt a,⇑, Z. Mróz b aUniversity of Miskolc, Miskolc, Hungary b Institute of Fundamental Technological Research, Warsaw, Poland a r t i c l e i n f o

Article history:

Available online 30 October 2014


Contact optimization problems

Monotonic and periodic sliding wear

Heat generation a b s t r a c t

The relative sliding motion lution. In the case of a pun the fixed contact stress an sponds to a minimum of t functional provide the cont motion. The present paper cases of periodic sliding of journal homepage: www.elems for reciprocal two elastic bodies in contact induces wear process and contact shape evoliding on a substrate the transient process tends to a steady state for which train distribution develops in the contact zone. This state usually correear dissipation power. The optimality conditions of the wear dissipation stress distribution and the wear rate compatible with the rigid body punch imed to extend the previous analyses [1–5] of steady state conditions to ch, assuming cyclic steady state conditions for both mechanical and therle at ScienceDirect eering Software ier .com/locate /advengsoft ineedistortion affects essentially the evolution of contact shape and of transient contact pressure distribution. However, it will be shown that in the steady wear state for reciprocal sliding, the contact pressure reaches the same distribution for both cases, that is for neglecting and accounting for heat generation, though the steady state contact shapes are different.

The present analysis extends the previous work [7], where the slow evolution of contact shape and pressure distribution during the transient period was numerically specified for the case of reciprocal punch sliding. In order to illustrate the contact state evolution due to wear process and generation of steady state regimes, two cases will be considered: first for a punch allowed to translate in the normal contact direction during the wear process, second for a punch allowed to translate and rotate.

The extended examples illustrate evolution of transient pressure and temperature distributions tending to the steady cyclic states. The variational method applicable to the cases of monotonic sliding is in this paper extended to the cases of periodic sliding with account for the elastic strain energy of contacting bodies and the wear dissipation during one cycle. In the numerical examples the error assessment is provided for the wear velocity and the relative sliding velocity specified with the neglect of elastic deformation. The Appendix A is enclosed to clarify the details of steady state for monotonic and cyclic solution and the variational framework generating the contact pressure distribution in consecutive semi-cycles.