prof. RNDr. Michal Kotoul, DrSc.

E-mail:   kotoul@fme.vutbr.cz  Dept.:   Institute of Solid Mechanics, Mechatronics and Biomechanics Position:   Deputy Director for Scientific Activities Room:   A2/602 Dept.:   Institute of Solid Mechanics, Mechatronics and Biomechanics Dept. of Mechanics of Advanced Materials Position:   Head of Department Room:   A2/602 Dept.:   Institute of Solid Mechanics, Mechatronics and Biomechanics Dept. of Mechanics of Advanced Materials Position:   Professor Room:   A2/602

Supervised courses:

• Applied Mechanics (WAM)
• Continuum Mechanics (S1K)
• Continuum Mechanics (S1K-A)
• Mechanics of Composites (9MEK)
• Selected Mathematical Methods in Mechanics (RME)
• Theoretical Mechanics (STM)
• Theoretical Mechanics (STM-A)

Publications:

• ŠEVEČEK, O.; LEGUILLON, D.; PROFANT, T.; KOTOUL, M.:
  Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates,
  Advances in Fracture and Damage Mechanics XIII, pp.237-240, ISBN 978-3-03835-235-8, (2015), Trans Tech Publications
  conference paper
  akce: 13th International Conference on Fracture and Damage Mechanics, Ponta Delgada, Azores, 23.09.2014-25.09.2014
• KLUSÁK, J.; HRSTKA, M.; PROFANT, T.; KREPL, O.; ŠEVEČEK, O.; KOTOUL, M.:
  The influence of the first non-singular stress terms on crack initiation direction in an orthotropic bi-material plate, PERGAMON-ELSEVIER SCIENCE LTD
  journal article in Web of Science
• PROFANT, T.; KLUSÁK, J.; ŠEVEČEK, O.; HRSTKA, M.; KOTOUL, M.:
  An energetic criterion for a micro-crack of finite length initiated in orthotropic bi-material notches,
  Engineering Fracture Mechanics, Vol.110, (2013), No.2013, pp.396-409, ISSN 0013-7944, PERGAMON-ELSEVIER SCIENCE LTD
  journal article - other
• KLUSÁK, J.; PROFANT, T.; KNÉSL, Z.; KOTOUL, M.:
  The influence of discontinuity and orthotropy of fracture toughness on conditions of fracture initiation in singular stress concentrators,
  Engineering Fracture Mechanics, Vol.110, (2013), No.2013, pp.438-447, ISSN 0013-7944, PERGAMON-ELSEVIER SCIENCE LTD
  journal article - other
• ŠEVEČEK, O.; BERMEJO, R.; KOTOUL, M.:
  Prediction of the crack bifurcation in layered ceramics with high residual stresses,
  Engineering Fracture Mechanics, Vol.2013, (2013), No.108, pp.120-138, ISSN 0013-7944, Elsevier
  journal article - other
• ŠEVEČEK, O.; KOTOUL, M.; PROFANT, T.:
  Effect of higher order asymptotic terms on the competition between crack penetration and debond at a bimaterial interface between aligned orthotropic materials
  journal article in Web of Science
• KOTOUL, M.; ŠEVEČEK, O.; PROFANT, T.:
  Analysis of multiple cracks in thin coating on orthotropic substrate under mechanical and residual stresses,
  Engineering Fracture Mechanics, Vol.77, (2009), No.2, pp.229-248, ISSN 0013-7944
  journal article - other

List of publications at Portal BUT

Abstracts of most important papers:

• ŠEVEČEK, O.; KOTOUL, M.; PROFANT, T.:
  Effect of higher order asymptotic terms on the competition between crack penetration and debond at a bimaterial interface between aligned orthotropic materials
  journal article in Web of Science
  Crack perpendicularly impinging the bimaterial interface and a crack arbitrary inclined to the interface are considered for a wide range of elastically mismatched materials. In the former case, the effect of the T-stress is investigated, in the latter case the combined effect of a weaker singularity and stronger singularity is examined for a range of crack/interface configurations. For the crack arbitrary inclined to the interface, FE solution of near-crack stress–displacement field obtained using a very fine mesh is compared with analytical singular field considering two leading terms of asymptotic expansion. As a side result it is found that the domain of singular field dominance for an arbitrary inclined crack increases with decreasing angle between the crack and the interface.
• KLUSÁK, J.; PROFANT, T.; ŠEVEČEK, O.; KOTOUL, M.:
  Crack propagation from bi-material notches - matched asymptotic procedure, Trans Tech Publication
  journal article in Web of Science
  The methods based on the properties of the two-state integrals allow one to calculate the amplitude of singular and the other terms of the Williams asymptotic expansion. The paper is focused on the use of the Y-integral, whose application is conditioned by the knowledge of the socalled auxiliary solution of the solved problem. On the other hand, the Y-integral can be applied to the analysis of the problems with various geometries, e.g. the analysis of the bi-material notches. The application of the Y-integral can be also extended to the matched asymptotic procedure, which allows one to predict the behavior of the cracked notches or following crack growth near the bimaterial interfaces.
• KLUSÁK, J.; PROFANT, T.; KOTOUL, M.:
  Determination of the threshold values of orthotropic bi-material notches,
  Procedia Engineering, Vol.2, (2010), No.1, pp.1635-1642, ISSN 1877-7058, Elsevier Ltd.
  journal article - other
  Příspěvek se zabývá problamatikou popisu singulárního pole napětí v okolí ostrého ortotropního bimateriálového vrubu. Koncentrace napětí může vést k iniciaci thliny v kořeni vrubu a jejímu následnému růstu. Příspěvek popisuje proceduru, která vede na vyjádření kritických hodnot zobecněných faktorů intenzity napětí a sestavení kritrétií pro potenciální směr šíření a iniciaci trhliny z kořene vrubu.
• KOTOUL, M.; ŠEVEČEK, O.; PROFANT, T.:
  Analysis of multiple cracks in thin coating on orthotropic substrate under mechanical and residual stresses,
  Engineering Fracture Mechanics, Vol.77, (2009), No.2, pp.229-248, ISSN 0013-7944
  journal article - other
  The analysis addresses a typical failure development pattern in thin films consisting of a system of multiple surface cracks leading to and branching along or near the interface between the film and the base material. The process is driven by thermal residual stresses and/or mechanical loading.
• KOTOUL, M.; POKLUDA, J.; ŠANDERA, P.; DLOUHÝ, I.; CHLUP, Z.; BOCCACCINI, A.:
  Toughening effects quantification in glass matrix composite reinforced by alumina platelets
  journal article in Web of Science
  A borosilicate glass matrix composite containing alumina platelets was considered to investigate toughening mechanisms and crack tip behaviour in dispersion reinforced brittle matrix composites. Fracture toughness was determined applying the chevron notched specimen technique and fractographic analysis was employed to reveal the active toughening mechanisms with increasing content of reinforcement. A roughness-induced shielding effect has been quantified to prove the relation between fracture toughness and fracture surface roughness. Theoretical calculations of the fracture toughness enhancement based on a modified crack deflection model developed by Faber and Evans, combined with the influence of the increase in Young's modulus, were found to be in good agreement with experimental data. An effect of residual stresses upon toughening of the investigated composite is discussed.