Advanced Structured Materials Konstantin Naumenko Manja Krüger Editors Advances in Mechanics of HighTemperature Materials Advanced Structured Materials Volume 117 Series Editors Andreas Öchsner, Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany Lucas F M da Silva, Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Porto, Portugal Holm Altenbach, Faculty of Mechanical Engineering, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany Common engineering materials reach in many applications their limits and new developments are required to fulfil increasing demands on engineering materials The performance of materials can be increased by combining different materials to achieve better properties than a single constituent or by shaping the material or constituents in a specific structure The interaction between material and structure may arise on different length scales, such as micro-, meso- or macroscale, and offers possible applications in quite diverse fields This book series addresses the fundamental relationship between materials and their structure on the overall properties (e.g mechanical, thermal, chemical or magnetic etc) and applications The topics of Advanced Structured Materials include but are not limited to • classical fibre-reinforced composites (e.g glass, carbon or Aramid reinforced plastics) • metal matrix composites (MMCs) • micro porous composites • micro channel materials • multilayered materials • cellular materials (e.g., metallic or polymer foams, sponges, hollow sphere structures) • porous materials • truss structures • nanocomposite materials • biomaterials • nanoporous metals • concrete • coated materials • smart materials Advanced Structured Materials is indexed in Google Scholar and Scopus More information about this series at http://www.springer.com/series/8611 Konstantin Naumenko Manja Krüger • Editors Advances in Mechanics of High-Temperature Materials 123 Editors Konstantin Naumenko Institut für Mechanik Otto-von-Guericke-Universität Magdeburg Magdeburg, Sachsen-Anhalt, Germany Manja Krüger Institut für Energie- und Klimaforschung Forschungszentrum Jülich GmbH Jülich, Nordrhein-Westfalen, Germany ISSN 1869-8433 ISSN 1869-8441 (electronic) Advanced Structured Materials ISBN 978-3-030-23868-1 ISBN 978-3-030-23869-8 (eBook) https://doi.org/10.1007/978-3-030-23869-8 © Springer Nature Switzerland AG 2020 This work is subject to copyright All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed The use of general descriptive names, registered names, trademarks, service marks, etc in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland Preface Many structures operate in high-temperature environment and must be able to withstand complex mechanical loadings over a long period of time Examples include components of power plants, chemical refineries, heat engines and microelectronics Design procedures and residual life assessments for pipework systems, rotors, turbine blades, etc., are required to take inelastic deformation, creep and fatigue damage processes into account The aim of “Mechanics of High-Temperature Materials” is the development of theoretical and experimental methods to analyze time-dependent changes of stress and strain states in engineering structures up to the critical stage of rupture During the last decades, many advances and new results in the field of hightemperature materials behavior were presented in conference proceedings and scientific papers Examples include: the development and analysis of new alloys for (ultra)high-temperature applications; interlinks of mechanics with materials science in multi-scale analysis of deformation and damage mechanisms over a wide range of stresses and temperature; the development and calibration of advanced constitutive models for the analysis of inelastic behavior under transient loading conditions; the development of procedures for a stable identification of material parameters in advanced constitutive equations; the introduction of gradient-enhanced state variables to account localized deformation and damage processes; the development and verification of material subroutines for the use in general-purpose finite element codes; the application of the finite element method to the inelastic analysis of engineering structures under complex thermo-mechanical loading profiles; and application of new experimental methods, such as digital image correlation, for analysis of inelastic deformation under multi-axial stress state This volume of the Advanced Structured Materials Series contains a collection of contributions on advanced approaches of mechanics of high-temperature materials Most of them were presented in the Session on High-Temperature Materials and Structures at the 28th International Workshop on Computational Mechanics of Materials (IWCMM) in Glasgow, UK, September 10–12, 2018 We thank Conference Chairs Dr Selda Oterkus, Dr Erkan Oterkus and Prof Siegfried Schmauder for inviting us to organize this session and for a big support during the workshop v vi Preface We would like to acknowledge Series Editors Profs Holm Altenbach and Andreas Öchsner for giving us the opportunity to publish this volume We would like to acknowledge Dr Christoph Baumann from Springer Publisher for the assistance and support during the preparation of this book Magdeburg, Germany Jülich, Germany May 2019 Konstantin Naumenko Manja Krüger Contents Analysis of a Power Plant Rotor Made of Tempered Martensitic Steel Based on a Composite Model of Inelastic Deformation Johanna Eisenträger, Konstantin Naumenko, Yevgen Kostenko and Holm Altenbach Computational Assessment of the Microstructure-Dependent Thermomechanical Behaviour of AlSi12CuNiMg-T7—Methods and Microstructure-Based Finite Element Analyses Carl Fischer, Axel Reichenbacher, Mario Metzger and Christoph Schweizer 35 Problems of Thick Functionally Graded Material Structures Under Thermomechanical Loadings Artur Ganczarski and Damian Szubartowski 57 Structural Analysis of Gas Turbine Blades Made of Mo-Si-B Under Stationary Thermo-Mechanical Loads Olha Kauss, Konstantin Naumenko, Georg Hasemann and Manja Krüger 79 Effects of Second Phases in Mo-Zr Alloys-A Study on Phase Evolution and Mechanical Properties Julia Becker, Heiko F Siems and Manja Krüger 93 Investigating the Effect of Creep Properties Mismatch in Very Thin Pipes Within High-Temperature Facilities 107 Martin Packham and Daniele Barbera Cohesive Zone Models—Theory, Numerics and Usage in High-Temperature Applications to Describe Cracking and Delamination 131 Joachim Nordmann, Konstantin Naumenko and Holm Altenbach vii viii Contents Stability of Parameter Identification Using Experiments with a Heterogeneous Stress State 169 Alexey V Shutov and Anastasiya A Kaygorodtseva Short Term Transversally Isotropic Creep of Plates Under Static and Periodic Loading 181 Holm Altenbach, Dmitry Breslavsky, Volodymyr Mietielov and Oksana Tatarinova Analysis of a Power Plant Rotor Made of Tempered Martensitic Steel Based on a Composite Model of Inelastic Deformation Johanna Eisenträger, Konstantin Naumenko, Yevgen Kostenko and Holm Altenbach Abstract Power plant components are subjected to high temperatures up to 903 K, which induce creep deformations Furthermore, power plants are frequently started and shut-down, thus resulting in cyclic loads on the components Since they provide adequate mechanical and thermal properties, tempered martensitic steels are ideal candidates to withstand these conditions The contribution at hand presents a phase mixture model for simulating the mechanical behavior of tempered martensitic steels at high temperatures To provide a unified description of the rate-dependent deformation including hardening and softening, the model makes use of an iso-strain approach including a hard and a soft constituent The model is implemented into the finite element method, using the implicit Euler method for time integration of the evolution equations In addition, the consistent tangent operator is derived As a final step, the behavior of an idealized steam turbine rotor during a cold start and a subsequent hot start is simulated by means of a thermo-mechanical finite element analysis First, the heat transfer analysis is conducted, while prescribing the instationary steam temperature and the heat transfer coefficients The resulting temperature fields serve as input for the subsequent structural analysis, which yields the stress and strain fields in the rotor J Eisenträger (B) · K Naumenko · H Altenbach Otto von Guericke University Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany e-mail: johanna.eisentraeger@ovgu.de K Naumenko e-mail: konstantin.naumenko@ovgu.de H Altenbach · e-mail: holm.altenbach@ovgu.de Y Kostenko Siemens AG, Power and Gas Division, Rheinstr 100, 45478 Mülheim an der Ruhr, Germany e-mail: yevgen.kostenko@siemens.com © Springer Nature Switzerland AG 2020 K Naumenko and M Krüger (eds.), Advances in Mechanics of High-Temperature Materials, Advanced Structured Materials 117, https://doi.org/10.1007/978-3-030-23869-8_1 ... Nordrhein-Westfalen, Germany ISSN 186 9-8 433 ISSN 186 9-8 441 (electronic) Advanced Structured Materials ISBN 97 8-3 -0 3 0-2 386 8-1 ISBN 97 8-3 -0 3 0-2 386 9-8 (eBook) https://doi.org/10.1007/97 8-3 -0 3 0-2 386 9-8 ... Materials is indexed in Google Scholar and Scopus More information about this series at http://www.springer.com/series/8611 Konstantin Naumenko Manja Krüger • Editors Advances in Mechanics of High-Temperature. .. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany Lucas F M da Silva, Department of Mechanical Engineering, Faculty of Engineering, University of Porto,