Nonsmooth Computational Mechanics for Heritage Structures

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1 Nonsmooth Computational Mechanics for Heritage Structures Ideas for cooperation, Athens, May 2007 Professor Dr. Ing.habil. Georgios E. Stavroulakis Technical University of Crete, Greece gestavr AT dpem.tuc.gr And Technical University of Braunschweig, Germany

2 Institute of Computational Mechanics and Optimization TU Crete, Chania RESPONSIBLE OF THE GROUP Georgios E. Stavroulakis, Dr. Civil Engineer, Professor, Privatdozent MEMBERS OF THE GROUP (9 affiliated faculty, scientists and graduate students) Emmanuel C. Zacharenakis, Dr. Civil Engineer, Professor, Eleftherios Z. Kyralakis, Dipl. Production Engineer, MSc, Magdalene Marinaki, Dr. Production Engineer, Ioannis Marinakis, Dr. Production Engineer, Aliki Muradova, Dr. Mathematician, Ioannis Skaros, Dipl. Financial and Management Engineer, graduate student, Maria E. Stavroulaki, Dr. Civil Engineer, Lecturer, Georgios Tairidis, Dipl. Production Engineer, graduate student, Ioannis Tsompanakis, Dr. Civil Engineer, Assistant Professor, 2

3 Computational Mechanics A mathematical model describes the physical behavior of a system Usually a system of differential equations In nonsmooth mechanics, variational inequalities Numerical approximation of the solution (finite elements, etc), System of nonlinear equations or Complementarity problems Postprocessing of solutions, optimization etc. 3

4 Masonry structures Bridges Fortification walls Masonry buildings Churches 4

5 Strength analysis and rehabilitation Static and aseismic design Limit analysis and collapse Aposteriori analysis of causes Reliability analysis Design and optimization of strengthening Intervention, strengthening, change of usage 5

6 Special topics related to monuments Poor documentation and knowledge of materials etc Solution of inverse and parameter identification problems Flexible multipart structures Strongly nonlinear effects (contactseparation, stick-slip in friction), require methods of computational nonsmooth mechanics Stiff, heavy structures Delicate dynamic analysis (possibly more than one eigenmodes are involved) 6

7 Static and dynamic analysis 7 We studied several arch masonry bridges, most of them in Epirus

8 Static and dynamic analysis using finite elements 8 More details published by B.P. Leftheris, M.E. Stavroulaki, A.K. Sapounaki and G.E. Stavroulakis

9 Unilateral analysis 9

10 Nonlinear effects, contact mechanics, limit analysis More details published by M.E. Stavroulaki, G.E. Stavroulakis, G. Drosopoulos, Ch. Massalas et al. 10

11 Collapse due to loss of contact or sliding 11 A parametric investigation on the influence of various parameters has been published by G. Drosopoulos, G.E. Stavroulakis and Ch. Massalas

12 Limit and collapse analysis excellent correlation with experiments 12

13 Unilateral analysis and continuous damage models Unilateral model Damage model 13 Mode details have been published by M. Campo, J. Ramon Fernandez, G. Drosopoulos, G.E. Stavroulakis, 2005

14 Animation 14

15 Modal analysis and aseismic design B. Leftheris, M.E. Stavroulaki, G.E. Stavroulakis 15

16 Modal analysis and aseismic design 16

17 Modal analysis and aseismic design 17

18 Related topics Study and design of effective nondestructive evaluation procedures Numerical study of physico-chemical processes (moisture, thermal effects, ageing) Related topics for heritage items (sculptures, art items, icons) 18

19 Bridge rehabilitation using FRP patches Studied recently by G. Drosopoulos, G.E. Stavroulakis and Ch. Massalas 19

20 Ενίσχυση Γέφυρας µε FRP Το Πρόβληµα της Αποκόλλησης 20

21 Nondestructive testing Usage of the impactecho method for the determination of delaminations, holes, cracks etc 21

22 Impact-echo data (simulation) 22

23 Impact-echo data (neural network analysis) H. Antes, M. Engelhardt, R. Gallego, A. Lykas, G.E. Stavroulakis (1997-) 23

24 Modelling of wave propagation and reflection 24

25 Preparation of data for impact-echo x y 25

26 Crack identification using impact-echo 26

27 NDT with different waves 27

28 Crack identification experiments - filter algorithms position of cracks x-y Relevant results published by M. Engelhardt, G.E. Stavroulakis, H. Antes,

29 Additional material on heritage/smart structures 29

30 Identification / nonsmoth mechanics 30

31 For more details Send a message to gestavr@dpem.tuc.gr Visit Visit m Call Or visit us 31

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