PSI - Issue 13

ScienceDirect Available online at www.sciencedirect.com Av ilable o line at www.sciencedire t.com Sci ceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structural Integrity 13 (2018) 1476–1481 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2018) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2018) 000 – 000

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

www.elsevier.com/locate/procedia

XV Portuguese Conference on Fracture, PCF 2016, 10-12 February 2016, Paço de Arcos, Portugal Thermo-mechanical modeling of a high pressure turbine blade of an airplane gas turbine engine P. Brandão a , V. Infante b , A.M. Deus c * a Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal b IDMEC, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal c CeFEMA, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal Abstract During their operation, modern aircraft engine components are subjected to increasingly demanding operating conditions, especially the high pressure turbine (HPT) blades. Such conditions cause these parts to undergo different types of time-dependent degradation, one of which is creep. A model using the finite element method (FEM) was developed, in order to be able to predict the creep behaviour of HPT blades. Flight data records (FDR) for a specific aircraft, provided by a commercial aviation company, were used to obtain thermal and mechanical data for three different flight cycles. In order to create the 3D model needed for the FEM analysis, a HPT blade scrap was scanned, and its chemical composition and material properties were obtained. The data that was gathered was fed into the FEM model and different simulations were run, first with a simplified 3D rectangular block shape, in order to better establish the model, and then with the real 3D mesh obtained from the blade scrap. The overall expected behaviour in terms of displacement was observed, in particular at the trailing edge of the blade. Therefore such a model can be useful in the goal of predicting turbine blade life, given a set of FDR data. ECF22 - Loading and Environmental effects on Structural Integrity Interaction of contact cracks and narrow slits in plate bending Ivan Shatskyi*, Taras Dalyak Ivano-Frankivsk Branch of Pidstryhach-Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, Mykytynetska str., 3, Ivano-Frankivsk, 76002, Ukraine The aim of the proceeding is to study the effect of interaction of rectilinear contact cracks and narrow slits for plate bending and on this basis to demonstrate qualitative differences in the concentration of stresses near defects of different nature. The crack is treated as a mathematical cut, the edges of which contact along the line on the plate outside. The slit is referred to as stress-free surfaces cut, th negative jump of normal displacement can occur on this cut. The problem f uniform bending of infinite plate weakened by through defects: cracks and slits, is considered in the two-dimensional formulation. The crack closure caused by bending deformation was studied based on the classical hypothesis of direct normal and the previously developed model of contact of edges along the line. A new boundary problem for a couple of biharmonic equations of plane stress and plate bending with interconnected boundary conditions on the cuts is formulated. The method of singular integral equations was applied to develop approximate analytical and numerical solutions of the problem. The results for the jumps of displacements and normal rotation angles, for the forces and moments intensity factors near the tips of defects, and for contact reaction on the closed edges of the cracks are obtained. Detailed analysis was carried out for parallel cracks and slits, depending on the parameter of their relative position. The comparison of findings with the known results for dyads: crack-crack and slit-slit is provided. As the results of the research show, the interacting contact crack and free slit are fundamentally different stress concentrators that produce qualitatively different patterns of local perturbations of stresses in the plate. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. ECF22 - Loading and Environmental effects on Structural Integrity Interaction of contact cracks and narrow slits in plate bending Ivan Shatskyi*, Taras Dalyak Ivano-Frankivsk Branch of Pidstryhach-Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, Mykytynetska str., 3, Ivano-Frankivsk, 76002, Ukraine Abstract The aim of the proceeding is to study the effect of interaction of rectilinear contact cracks and narrow slits for plate bending and on this basis to demonstrate qualitative differences in the c ncentratio of stresses near defects of different nature. The crack is treated as a math atical cut, the edg s o which co tact along the line n th plate outside. The slit is referred to as stress-free surfaces cut, the negative j mp of normal displacement can occur on this cut. The problem of uniform b nding of infinite plat weak ned by throu h defects: cra ks a d slits, is considered in the tw -dimen onal for ul tio The rack closure caused y bending eformation was studied based on the classical hypothesis of direct normal and the previously developed model of co tact of dges al g the line. A new bou dary problem for a couple of biharmonic equations of plane stress and late bending with interconnected boundary conditions on the cuts is formulated. The method of singular integr l quations was applie to develop approximate analytical a numerical solution of the problem. Th results for the jumps of displacements and normal rotati n ngles, for the forces and moments intensity fact rs n ar the tips of defects, and for contact reaction on the closed edges of the cr cks are obtained. Detailed analy is wa carried out for parallel cracks and slits, depending on the parameter of their relative position. The comparison of findings with the known results for dyads: crack-crack and slit-slit is provided. As the results of the research show, the interacting contact crack and free slit are fundamentally different stress concentrators that produce qualitatively different patter s of local perturbations of stress s in the plate. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. Keywords: plate, contact crack, slit, interaction, bending Abstract

Keywords: plate, contact crack, slit, interaction, bending

© 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016.

Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation.

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. 2452-3216 © 2018 The Authors. Published by Elsevier B.V. Peer review under r sponsibility of the ECF22 o ganizers. * Corresponding author. Tel.: +380-99-444-4967; fax: +380-342- 547-139. E-mail address: ipshatsky@gmail.com * Corresponding author. Tel.: +380-99-444-4967; fax: +380-342- 547-139. E-mail ad ress: ipshatsky@gmail.com

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016.

2452-3216  2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. 10.1016/j.prostr.2018.12.304