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thermal stress analysis using finite element method in area

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ACTA TECHNICA CORVINIENSIS – BULLETIN of ENGINEERINGIn Figure 5 we gave the ensemble of the rollcross section, as well as the magnitudes of theVon Mises stra<strong>in</strong>s for the follow<strong>in</strong>g knots(schematically po<strong>in</strong>ted out on the surface of theupper roll): 35126, 35129, 35132, 35135, 35138,35141, 35144, 35147, 35150, 35153 and 35156.The diagram shows a decrease <strong>in</strong> the <strong>thermal</strong>stra<strong>in</strong>s away from the roll<strong>in</strong>g <strong>area</strong>, knot 35126hav<strong>in</strong>g a Von Mises stra<strong>in</strong> of 930.77N/mm 2 andknot 35156 of about 246 N/mm 2 . In this case, thecalculated length is 185.1947mm.Fig. 7. The variation of Sigma Von Mises stra<strong>in</strong>sSimilarly, <strong>in</strong> Figure 6 we gave the ensemble ofthe roll cross section, as well as the magnitudesof the Von Mises stra<strong>in</strong>s for the follow<strong>in</strong>g knots(schematically po<strong>in</strong>ted out on the surface of theupper roll): 4277, 4281, 4285, 4289, 4293, 4297,4301, 4305, 4309, 4313, 4317 and 4321. In theplan given <strong>in</strong> Figure 6 one can notice a decrease<strong>in</strong> the <strong>thermal</strong> stra<strong>in</strong> away from the roll<strong>in</strong>g <strong>area</strong>.Thus, for knot 4277 Von Mises stra<strong>in</strong> is of902,51N/mm 2 and for knot 4321 of 173.26N/mm 2(<strong>in</strong> this case, the calculated length is 185.1947mm). In Figure 7 we gave the ensemble of theroll cross section, as well as the magnitudes ofthe Von Mises stra<strong>in</strong>s for the follow<strong>in</strong>g knots(schematically po<strong>in</strong>ted out on the surface of theupper roll): 4423, 4427, 4431, 4435, 4439, 4443,4447, 4451, 4455, 4459, 4463 and 4467. Figure 7shows that for knot 4467 Von Mises stra<strong>in</strong> is of822.58 N/mm 2 and for knot 4423 of 99.203 N/mm 2(the calculated length is 185.1947 mm).CONCLUSIONAs a result of simulat<strong>in</strong>g the roll<strong>in</strong>g process bymeans of the <strong>f<strong>in</strong>ite</strong> <strong>element</strong> <strong>method</strong> <strong>in</strong> view ofquantitatively and qualitatively determ<strong>in</strong><strong>in</strong>g<strong>thermal</strong> stra<strong>in</strong>s, we came to the follow<strong>in</strong>gconclusions:• <strong>thermal</strong> stra<strong>in</strong>s are the basic cause of fissur<strong>in</strong>gthe roll<strong>in</strong>g surface of rolls as a result of <strong>thermal</strong>fatigue, caused by the high values <strong>in</strong> the <strong>area</strong>sneighbor<strong>in</strong>g the contact <strong>area</strong> with the<strong>in</strong>candescent semi-f<strong>in</strong>ished part; the graphsshow that the values of the <strong>thermal</strong> stra<strong>in</strong>s <strong>in</strong>the <strong>area</strong> under consideration rank with<strong>in</strong>121,73 and 930.77 N/mm 2 for the upper rolland 99.303 and 902.51 N/mm 2 for the lowerroll;• <strong>thermal</strong> stra<strong>in</strong>s have significantly higher valuesas compared to the mechanical ones and actat relatively short <strong>in</strong>tervals of time (with<strong>in</strong>fractions of a second);• the roll<strong>in</strong>g rolls break dur<strong>in</strong>g the roll<strong>in</strong>gprocess because of <strong>thermal</strong> fatigue;• a most precise knowledge of the character ofthe stra<strong>in</strong>s generated by the complex <strong>stress</strong>esthe hot roll<strong>in</strong>g rolls undergo, allows thedeterm<strong>in</strong>ation of the duration <strong>in</strong> exploitationunder safe conditions, by their comparison tocerta<strong>in</strong> limit values imposed from the verybeg<strong>in</strong>n<strong>in</strong>g;• stra<strong>in</strong>s <strong>in</strong> the roll<strong>in</strong>g rolls have a cyclicalcharacter and the stra<strong>in</strong> state is ma<strong>in</strong>ly theresult of the action of the fields of symmetricaland asymmetrical temperatures that cause<strong>thermal</strong> fatigue on their surface and superficiallayer.Eng<strong>in</strong>eer<strong>in</strong>g is concerned with the design of asolution to a practical problem. A scientist mayask why a problem arises, and proceed toresearch the answer to the question or actuallysolve the problem <strong>in</strong> his first try, perhapscreat<strong>in</strong>g a mathematical model of hisobservations. By contrast, eng<strong>in</strong>eers want toknow how to solve a problem, and how toimplement that solution. In other words,scientists attempt to expla<strong>in</strong> phenomena,682010/Fascicule 1/January‐March/Tome III

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