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of computer based techniques, as well as laser-optics methods, nanotechnologies

and nanomaterials, among many other technological advances, added new dimension

and perspectives to minim ize or prevent catastrophic failures of engineering systems,

structures and components.

This volume contains the extendedAbstracts of the 380 papers accepted for presentation

in the IRF2013-4

1h

International Conference on In tegrity, Relia bility and fa ilure held in

Funchal/Portugal, 23-27 June 2013. The book is complemented by an accompanying

CD-ROM containing the full length papers.

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799 RO I R03 R05 807 809 RI I SI3 815 RI7 819 821 823 R25 827 829 13

EDlTORS PREFACE

As the engineering community continues lo cross the boundaries

Df

known practices, materiais and manufacturing techniques into lhe frontiers af new functional materiais, environrnents and applications. the opportunities for catastrophic failures w ill inevitably incrcase.

Ir

our knowledge af how to engineer systems, slTUctures and components to minimize or prevent catastrophic failure is to keep pile e with modem manufacturing technologies, the demanding applications, and the intolerance af a safety conscious society, we musl continue aur efforls to develop and use superior materiais, apply reliable analytical techniques and validate lhese with sound experimental tools. lt is with this in mind that lhis series of conferences was organised.

The objectives of this gathering are to provi de a forum for the discussion and dissemination of recent advances in assessing the integrity, reliabilily and failure of engineering structurcs, components, and assemblies, foster research in these arcas, and promote international co-operation arnong scientists and engineers in the field . The goal is to enable concerncd researchers and scientists from ali over the world to exchange ideas on mechanics, materiais and design as Ihey relate lo system integrily and reliabilily.

This fourth intemational conference, which is sponsored by the Univcrsity Df Porto, lhe University ofToronto and the University of Madeira, is part ofa prestigious series of Integrity Reliability and Failure conferences coordinated by the Intemational Scientific Committee on Mechanics and Materiais in Design. The conference atlractcd over 300 participants with 380 accepted submi ssions [rom

45

different countries around lhe world. These papers were presenled in June 23-27, 2013 in lhe magnificenl cily of Funchal, Madeira. The confcrence themcs which address integrity, reliability and failurc focu sed on Analytical and Numerical tools, Testing and Diagnostics, Surfacc and Interface Engineering, Sensors and Instrumentation, Tribology, Mechanical Design and Prototyping, Modes of Failure, Composite Materiais, Nanotcchnologies and Nanornaterials, Biomechan ícs, Energy and Thenno-Fluid Systems, Impact and Crashworthiness and Case Studies.

We are particularly indebted lo the authors and speeial gucsls for their plcnary lectures and presentations. Each of lhe more than 380 contributions offered opportunities for thorough discussions with the authors. We acknowledge ali of the participants, who contributed with innovations, new research approaches, novel modeling and simulation efforts, and invaluable criticai commems. We are also indebled to lhe outstanding plcnary lecturers who highlighled the conference thcrnes with their contributions: Professor Xiong Zhang (Tsinghua University, P. R. China), Professor E.A. Elsayed (Rutgers University, USA) and Professor Norilsugu Umehra (Nagoya University, Japan). We also take this opportunity to thank lhe members of lhe Intemational Scientific Committee and reviewers for thcir time and effort.

Last but by no means least, we offer our sincere gratitudc to the symposia organisers [ar th cir contribution to the success of the cvent and lhe local organising commíttec for attending to many aspeels oflhe conference dcmands. For ali ofthem, wc are truly very grateful.

Shaker A. Meguid alld J.F. Silva Gomes Fundlal ! Madeira, June 2013

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International Scientific Committee

Abcn, H. (Estonia) Dourado, N. (Portugal) Masato, Y. (Jap'lIl) Sainov, V. (Bulgaria) Abreu, M.J. (portugal) Ebcrhardsteincr, J. (Austria) Mcda, A. (tlnly) Santos, J.M. (Portugal) Adali, S. (5. Africa) Estcvcs, l.L. (Portugal) Mcguid, S.A. (e:mada) Santos, Telmo (Portugal) Afonso, C.F. (Portugal) Fanguciro. R. (Portugal) Melo, F.Q. (Portugal) Serncnski, D. (Croatia)

Alcxopoulos, N. (Grecec) Fernandes, A.A. (Portugal) Milciko, S.T. (Russia) Silva, AJ. (Portugal) Alves, A. (Portugal) Ferreira, D. (Portugal) Millcr. R.E. (Canada) Silva. Lucas (Portugal)

António,

c.c.

(Portugal) Ferreira, J.G. (Portugal) Mines, R. (UK) Silva Gomes, l.F. (Portugnl) Banks-Sil1s, L (Israel ) FiúZll, A. (Portugal) Miranda, R. (Portugal) Sjõdahl, M. (Sweden)

Baptista, J.S. (Portugal) Fonseca E. (Portugal) Morcim, F. (Portugal) Soares, C.M. (Portugal)

Barros, R.C. (Portugal) Gdoutos, E. (Grecce) Moreira, P. (Portugal) Sousa, LC. (Portugal)

Bathe, K.1. (USA) Gcraldes, M. (Portugal Morimoto, Y. (Japan) Sousa, R. (Portugal)

Botsis, J. (Switzcrli,lnd) Guedes, R.M. (Portugal) Moura, M.F. (Portugal) Suleman, Afzal (Portugal)

Brcrnand, F. (Franee) Hejum, Ou (Singapore) Muc, Aleksander (Poland) Takagi, T. (Japan)

Caetano, E. (Portugal) 19artua, A. (Spain) Navarro, C. (Spain) Talllia, M. (Portugal)

ClImllnho, P. (Portugal) Ignaszak, Z. (Poland) Navas, H. (Portugal) Tamalsky, E. (Bmzil)

Campos, lR. (Portugal) Iliescu, N. (Romania) Pappalettere, C. ([taly) Tamuzs, V. (Latvia)

Castro, C.F. (Ponugal) Jones, N. (UK) Pieczyska, E. (Poland) Tavares, 1M. (Portugal)

Castro, P.T. (Portugal) Jorge, R.N. (Ponugal) Piloto, P. (Portugal) Tavares, P. (Portugal)

Catarino, A. (Portugal) Kahlen, F-J. (S. Africa) Pindera, M,J. (USA) Thomscn, O.T. (Denmark)

Cavalcante, M. (Brazil) Klein, W. (Genmllly) Prime, M. (USA) Tooren, M,J. (Netherlands)

Chen, T. (Taiwan) Kourkoulis, S. (Greece) Quc!has, O. (Brazil) TrumtlO, C.E. (UK)

Chenot, J-L (France) Laermann, K. (Germany) Ramesh, K. (Jndia) VanHemc!rijck, D. (Belgium)

Cime, J. (Portugal) Langseth, M. (Norway) Reddy, J.N. (USA) Varom, H. (Portugal)

Correia, A. (Ponugal) Lima, G. (Brazi]) Restivo, M.T. (Ponugal) Vasques, C. (Ponugal) Croccolo, D. (ltaly) Lino, J. (Ponugal) Ribeiro, J.E. (Portugal) Vaz, Mnrio P. (Ponugal) Cunha, A. (Ponugal) Lopes, H. (Ponugal) Robinson, J. (Ircland) Vilas-Boas, l (Portugal)

Daua, S. (USA) Lu, Jian (I~ong Kong) Rocha, A.B. (Portugal) Wang, Wci-Chung (Taiwan)

Degrieck, J. (Belgium) Madureira, L (Portugal) Rodrigues, H. (Portugal) Weng, G. (USA)

Dias, G. (Ponugal) Maia, Lino (Portugal) Rodrigues, lO. (Portuglll) Yoneyama, Satoro (Japan)

Dietrich, L. (Poland) Mal, A. (USA) Ruiz, G. (Spain) Yoon, Y.C. (Singapore)

Diago, M.T. (Portugal) Marques, A.T. (Portugal) Ruzieka, M. (Czech R.l Zhang, Z. (China)

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Institutional Sponsors

FEUP

MADL

CCEE

Ul1iversily Df Porto Portugal

Ulliversity ofToronto Callada

University of Madeira Portugal

Co-Chairs

J.F. Silva Gomes

CU.

PorIa)

Shaker A. Meguid

C

U.

Toronto)

Organizing Committee

Carlos C. Antánio, CHto F. Afonso, José M. Cime

Lino Maia, Mário A.P. Vaz, Paulo G. Piloto, Pedro M.G.P. Moreira

Conference Secretariat

Nuno Pinto, Lurdcs Calalino, Carla Gonçalves M.F. Silva Gomes,

lVi/h lhe mppor/ of

ABREU-pea, Profcssional Congress Organizcr (http://pco.abrcu.pt) Mcrcatura Confcrcncc Systcrn (http://www.mcrcatura.pt)

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xxx

ACKNOWLEDGMENTS

IRF2013 confercnce is sponsored by the following institutions, whose contributions are gratefully acknowledged:

FEUP-Faculdade de Engenharia, Universidade do Porlo MADL-Mechanics Gnd Aerospace Design Lab, Universily ofToronto CCEE-Cenlro de Ciências Exae/as e de Engenharia, Universidade da A1adeira

Governo Regional da Madeira

IVBAM-lllstitllto do Vinho, do Bordado e do Artesanato da Madeira, !.P. APAET-Porlugucse Associatioll for Experimental Mechanics

EURASEM-El/ropean Sacie'y for Experimental Mechanics SEM-American Saciely for Experimental Mechanics

BSSM-British Saciely for Stl'ain A1easuremenl JSME-Japallcse Society of Mechanical Engilleering

IMEKO-Inlernational Measuremenl Conjederation AFM-Associatioll Française de MécGnique DY.MAT-EuropeaJl Associationjor Dynamics of Materiais INEG1-lnstitulo de Engenharia Mecânica e Gestão Industrial

LABIOMEP-Laboralório de Biomecânica do Porto FCT-Fundação para a Ciência e a Tecnologia ABREU-PCO, Professional Congress Organize/'

(grORTO

••••••••

••••••••

MEDiANlCS ANO AEROSPACE DE5IGN lAB

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TRACKS

I

MAIN TOPICS:

Topic_ A: Analytical and Numerical 1001s Topic_B: Testing and Diagnostics

Topic_ C: Surface and lnterlàce Engincering Topic_D: Civil Engineering Applications Topic_ E: Sensors and Instrumentation Topic_ F: Tribology, Geurs and Transmissions Topic _ G: Mechanical Design and Protolyping Topic _H: Modes af Failurc

Topic_I: Composite Materiais

Topic_J: Nanotechnologics and Nanomaterials Topic _ K: Biomechanical Applications Topic_L: Encrgy and Thenno-Fluid Systems Topic_M: Impact and Crashworthiness Topic_N: Case Studies

SPECIAL SYMPOSIA:

Symp_OI: Smarl Materiais and Structures

Coordinafor: MJ. Gera/des (UBI)

Symp_03: lmaging and Vizualization

Coordinator: João Tavares (U.Porto)

Symp_04: OpticaI Techniques ofExperimental Mechanics in Dcsign

Coordinators: Hernani Lopes (lPB), João Ribeiro (IPB)

Symp_05: Blood Flow Mcchanical Behaviour

Coordinalors: Catarina Castro (U.Porto), Luisa Sousa (U.Porto)

Symp _ 06: Integrity, Reliability and Failure in Dental Materiais

Coordinalors: J.c. Reis Campos (U.Porlo), André Correia (U.Porto)

Symp_ 07: Mechanical Characterization ofBone Behaviour

Coordinators: Marcelo Moura (U.Porto), Nl11l0 Dourado (UTAD)

Symp _ 1o: Structural and Multidisciplinary Optimization

Coordinalor: Carlos C. António (U.Porto) Symp _ 11: Innovative Joining Processes

Coordillalors: Pedro Moreira (lNEGl/ U.Porto), LlIcas Silva (U.Porto)

Symp _12: Vibration and Structural Acoustic Analysis

COOl'dinalor: César Vasqlles (INEGI)

Symp_ 13: Dynamics, Stability and Control in Engineering Structures

Coordinator: Rui C. Barros (U. Porto)

Symp 14: Assessment, Monitoring and Control ofCivil Engineering Structurcs

- Coordillalors: Álvaro Cunha (U.Porto), Eisa Caetano (U.Porto)

Symp_ 15: Behaviour Characterization ofConstructions for Earthquake Demands

Coordinators: Humberto Vantm (U.Aveiro), Hugo Rodrigues (U.Aveiro)

Symp_ 17: Concrete Material Perfonnance

Coordinators: Nuno Dourado (UTAD), Marcelo Moura (U.Porto)

Symp_J 8: Safety ofWooden Structures

Coordinalors: Elza Fonseca (IPB), Débora Ferreira (IPB)

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Symp_ 19: Occupational Safety and Health

Coordinators: J. Santos Baptista (U.Porlo), M Tato Diogo (U.Porto), Gilson Lima (LATEC), Osvaldo Quelhas (LATEC)

Symp_20: Thclll10dynamics and Thenno-Fluid Systems

Coordiflators: Clilo F. Afonso (U.Porto), Carlos C. Anlól/io (U.Porlo)

Symp_21: Lean and Green Manufacturing

Coordinators: AI/abeta Alves (U.Minho), Rui SOl/sa (U. Minho), Franz-Josef Kallen (U. Cape Town)

Symp_26: Advanccs in Fibrous and Composite MateriaIs for Civil Engineering

Coordillators: Raul Fanglleiro (U. Minha), Sohel Rana (U.Minho)

Symp_27: Structural Health Monitoring of Advanced Structures

Coordinators: Júlio C. Viana (CriticaI MateriaIs, SA), Gustavo Dias (CriticaI Malerials, SA)

Symp_28: Fire and StructuraI Engineering

Coordinators: Paulo G. Piloto (IPB), Alberto Medo (U. Roma)

Symp_29: Metrology, Quality Contrai and Reliability

Coordinator: Helena v.G. Novas (FCT/ UNL)

Symp_30: MedicaI Devices and Healthcare Materiais

Coordinators: Maria José Abreu (U.Minho), André Calarino (U.Minha)

Symp_31: Micromechanics and Homogenization af Hctcrogeneous Media

Coordinalors: Marek-Jerzy Pindem (U. Virginia), Marcio Cavalcante (U.Alagoas)

Symp_32: Failure and Fatigue ofStructural Elements

Coordinator: Aleksander Muc (Cracow U.T.)

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RECENT ADVANCES IN

INTEGRITY -RELlABILlTY -FAILURE

J.F. Silva Gomes, Shaker A. Meguid (Ed)

Proceedings IRF2013

4th International Conference on Integrity, Reliability and Failure

FunchallPortugal, 23-27 June 2013

SYMPOSIUM_18

Safety

Df

Wooden Structures

Coordinators: Elza M.M. Fonseca")

Departmenl af Applied Mechanics, Polylechnic Institule of Bragança. Portugal

Débora RS.M. Ferreira" )

Departmenl of Applied Mechanics, Polytechnic Institule Df Bragança, Portugal

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3

lNTEGRlTY, RELlABILlTY AND FAILURE

PAPER REF: 4692

A DISPLACEMENT FORMULA TION FOR CYLINDRICAL SHELLS

UNDER RADIAL LOADS

Luísn Mndurcirn!(", Elza Fonsecal, Rui Carneiro de BnrrosJ

IDepartmcnt ofMcchanical Enginccring (DEMcc), University af Porto, Facuhy ofEnginccring, Portugal lDepartmenl af Applicd Mechanics. Polytcchnic Institutc af Bragança, Portugal

JDcpartmenl ofCivil Enginccring, University orporto, Facuhy of Enginccring, Portugal

(O.Email: luisa.madureim@fc.up.pt

ABSTRACT

A displacement fonnulation for cylindrical shells subjected to radial loads is presented. Slalic loads are applied to straight thin pipcs using a variational method and resulls are compared bolh to finite elemenl analysis and a shell elemen! from Ansys programo The fonnulalion includes a combination af trigonomet'ric functions in tWQ variables, longitudinal and

circurnferential direction. Then a system af differential equations is solved for two different load cases and lhe vertical displacemenl is oblained in lhe poinls where the load is applicd.

Keywords: cylindrical shell, trigonometric functions, point load.

INTRODUCTION

The basic assumplions in lhe present analysis of lhe defonnation of straighl pipes are lhat the shell is thin and lhe transversal section is inextensiblc, not including pressure effects.

F

Fig. I - Shcll disploccmcnls

Considering the pararneter x as longitudinal and () as circumferential, 11 the longitudinal displacement,

v

the circurnferential displacement and H' the transversa l displacement, kinematics exprcssions relating the mid-surface strains to the displacements are:

II =

ali

=0

,u

ax

I

(aI' )

80/1=- -+11' =0

I'

ao

I

ali

a"

Y."

=;

ao +

ax

=0

while the curvaturcs and twist are expressed by:

Symp _ 13: Dyl1al1lics, Sfability alld ContraI ill ElIgineerillg Strllctures

(I)

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4/IJ

Jllternationa/ Conlerence on Jmegrity , Re/iability and Failure

2

(01'

0' 11' )

%.,0 = -; - OX

+

oxil8

(2)

The total energy is defined by the following expression:

~f"f'

Dk2 + D(I-v)k2 rd,,/8

2 o o

ee

2

xe

(3)

The dispIacement is fonnuIated using odd functions in

B

combined with different functions in

x. Severa! cases for x-functions are considered. The geometric paramcters are the pipe Iength L, the thickncss " and the radius /'. The material is stee! and load cases are:

Case I: a point load in the pipe end,

Case 2: pinched forces applied in the middle ofthe pipe.

RESUL TS AND CONCLUSIONS

A total of 2 different approaches \Vere tested for both Ioad cases. The pipe dimensions are represented in tabIe I.

Table 1 - Pi re dimensions Length, m

0.40 0.2

Radius, m Thickncss, m 0.00335 0.159945 0.00396 0.00457

The resulls sho\V good agreement with other published soIutions using multi-nodal ar finite elernent analysis, as represented in table 2. The deformation is larger when the pipe length increascs and the ring defection is smaller when the pipe thickness increases.

Tablc 2 - Vertical displaccmcnt for 11=0.00335/11 (Case 7) Diffcrcnt formulations L=O.2m L-O.4m

Finitc clcmcnt 0.0151 0.0242 Multi-nodal 0.0140 0.0230 Vanalional 0.0142 0.0233

This study shows that the functional approach with minimization of lhe total energy leads to the same results as compared with finite elements, as published by (Fonseca et ai, 2011).

ACKNOWLEDGMENTS

The authors gratefully acknowledge the funding by Ministério da Ciência, Tecnologia e Ensino Superior, FCT, Portugal.

REFERENCES

[Il-Fonseca E.M.M., Madureira Luísa, Melo F.J.Q. A multi-nodal ring finite element for analysis of pipe deflection. International J of Manufacturing Science alld Engineering, 20 I L Vo12, N2, pp. 109-114.

Imagem

Fig.  I - Shcll disploccmcnls

Referências

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