1st Edition
Shell Structures: Theory and Applications Volume 3
Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insects. In the human body arteries, the shell of the eye, the diaphragm, the skin or the pericardium are all shells as well.
Shell Structures: Theory and Applications, Volume 3 contains 137 contributions presented at the 10th Conference “Shell Structures: Theory and Applications” held October 16-18, 2013 in Gdansk, Poland. The papers cover a wide spectrum of scientific and engineering problems which are divided into seven broad groups: general lectures, theoretical modelling, stability, dynamics, bioshells, numerical analyses, and engineering design. The volume will be of interest to researchers and designers dealing with modelling and analyses of shell structures and thin-walled structural elements.
General lectures
Actual developments in the nonlinear shell theory – state of the art and new applications of the six-parameter shell theory
H. Altenbach & V.A. Eremeyev
Nonlinear vibrations of shells: Experiments, simulations and applications
M. Amabili & F. Alijani
3D-shell mathematical models and finite elements: From mathematical and physical insight to application examples
D. Chapelle
Mechanics design and analyses of stretchable electronics
Y. Zhang, K.C. Hwang & Y. Huang
On geometrically non-linear FEA of laminated FRP composite panels
I. Kreja
Theoretical modelling
An analytical solution to the problem of interaction of a circular plate with an inhomogeneous soft layer
S.M. Aizikovich, A.S. Vasiliev, S.S. Volkov, B.I. Mitrin & E.V. Sadyrin
Laminated smart shell structures; theory and analysis
T.M.B. Albarody & H.H. Al-Kayiem
On the surface vis impressa caused by a fluid-solid contact
J. Badur, P. Ziółkowski, W. Zakrzewski, D. Sławinski, M. Banaszkiewicz, O. Karczmarczyk, S. Kornet & P.J. Ziółkowski
Nonclassical theories for bending analysis of orthotropic circular plate
S. Bauer & E. Voronkova
On the characterization of drilling rotation in the 6-parameter resultant shell theory
M. Bîrsan & P. Neff
Existence of solutions of dynamic contact problems for elastic von Kármán-Donnell shells
I. Bock & J. Jarušek
On the effectiveness of higher-order terms in layer-wise shell models
E. Carrera, A. Lamberti & M. Petrolo
The free material design of thin elastic shells
S. Czarnecki, R. Czubacki, G. Dzierzanowski & T. Lewinski
Moderately large deflections of thin densely ribbed plates
Ł. Domagalski & M. Gajdzicki
Theory of shells as a product of analytical technologies in elastic body mechanics
V. Eliseev & Y. Vetyukov
On effective stiffness of a three-layered plate with a core filled with a capillary fluid
V.A. Eremeyev, E.A. Ivanova, H. Altenbach & N.F. Morozov
General dynamic theory of micropolar elastic orthotropic multilayered thin shells
A.J. Farmanyan & S.H. Sargsyan
Stationary deformation of compound shell structures under arbitrary loadings
Y.M. Grigorenko, E.I. Bespalova & G.P. Urusova
TUBA finite elements: Application to the solution of a nonlinear Kirchhoff-Love shell theory
V. Ivannikov, C. Tiago & P.M. Pimenta
On the tolerance modeling of thin microstructured plates
J. Jedrysiak
Some problems of modelling stability of thin functionally graded plates
M. Ka´zmierczak-Sobinska & J. Jedrysiak
Comparison of various linear plate theories in the light of a consistent second-order approximation
R. Kienzler & P. Schneider
Pure bending of a pressurized curved tube
A.M. Kolesnikov & A.V. Popov
On jump conditions at non-material singular curves in the resultant shell thermomechanics
V. Konopinska & W. Pietraszkiewicz
The GRADELA plates and shells
K.A. Lazopoulos, K.A. Alnefaie, N.H. Abu-Hamdeh & E.C. Aifantis
Equations of motion for growing shells
S. Lychev &T. Lycheva
A plane stress elastic-plastic analysis of sheet metal cup deep drawing processes
Z. Nowak, M. Nowak & R.B. Pecherski
Thermoelasticity in a two-phase hollow cylinder with longitudinally graded material properties
P. Ostrowski
On refined constitutive equations in the six-field theory of elastic shells
W. Pietraszkiewicz &V. Konopinska
Fractional thermoelasticity of thin shells
Y. Povstenko
Two-dimensional model of fifth order in thickness for homogeneous plates
E. Pruchnicki
Continuum shell models for closed cage carbon nanoparticles
M. Todt, F.G. Rammerstorfer & M.A. Hartmann
Two-dimensional linear model of anisotropic shells
P.E. Tovstik & T.P. Tovstik
Improving an inverse technique for characterisation of laminated plates
M.Wesolowski & E. Barkanov
Analytical aspects of the 3D-based hierarchical shell and transition models for adaptive FEM
G. Zboinski
Nonlinear deformations of elastic shells with distributed dislocations
L.M. Zubov
Stability
Unsymmetric equilibrium states of inhomogeneous circular plates under normal pressure
S. Bauer, E. Voronkova & K. Ignateva
Non-linear stability analysis of a porous-cellular cylindrical panels
T. Belica & E. Magnucka-Blandzi
A new approach to the buckling resistance assessment of pressurized spherical shells
P. Bła˙zejewski & J. Marcinowski
Externally pressurized toricones – buckling tests
J. Błachut
Effect of surface imperfections on axial load carrying capacity of a thin cylinder
G.S. Brar, M.P. Singh & J. Kapoor
The suggestion of analysis methods to estimate minimum strength for elastic buckling of shell structures
M. Ishinabe & K. Hayashi
Stabilisation of post-critical behaviour of sandwich cylindrical shells
P. Jasion
Non-linear patterns of bends and solitons on surfaces of loaded shells
V.V. Kiselev & D.V. Dolgikh
Artificial damping method for local instability problems in shells
T. Kobayashi, Y. Mihara & F. Fujii
Buckling simulation of single layer graphene sheets by the molecular mechanics method
S.N. Korobeynikov, V.V. Alyokhin, B.D. Annin & A.V. Babichev
“Static resonance” in cylindrical shells with periodical initial imperfections under external pressure
V.L. Krasovsky, M.V. Kolesnikov & R. Schmidt
Thin-walled composite channel-section beams subjected to pure bending
T. Kubiak & Z. Kolakowski
Deformation and buckling of axially compressed elastic cylindrical shells with transversal cut in experiments and numerical simulations
O.V. Lykhachova & R. Schmidt
Linear buckling analysis as a measure of the buckling resistance of shells
J. Marcinowski
Buckling of composite multilayered shells – an experimental analysis
A. Muc, A. Bondyra & P. Romanowicz
Stability of an inhomogeneous rectangular plate of micropolar material
D.N. Sheydakov
Comparative buckling analysis of cylindrical steel silos with flat or corrugated sheets
M. Sondej, M. Wójcik, P. Iwicki & J. Tejchman
Experimental and numerical analysis of the post-buckling behaviour of integrally sub-stiffened rectangular plates subjected to shear
Ł. Swiech
Cylindrical shells under axial compression and simultaneous internal pressure: Buckling mechanics and EN-conforming design proposal
M.B. Tekleab & W. Guggenberger
Modelling of thin film buckling in compound specimens under uniaxial stretching
F. Toth, F.G. Rammerstorfer, M.J. Cordill & F.D. Fischer
Influence of geometric imperfections on the local stability of thin-walled elements
R.Walentynski, M. Cybulska & R. Cybulski
Buckling mode switching in self-similar nanotubes
Y.C.Wang & C.Y.Wu
Buckling of encased liner under external pressure and the effects of voids in backfilling grout
J.H.Wang, M. Nakano, Z.H. Shi & A. Koizumi
Improved knockdown factors for cylindrical shells using worst multi-perturbation load approach
B.Wang, P. Hao, G. Li, K. Tian, X.J.Wang, X. Zhang & X.H. Tang
Computations of critical load value of composite shell with random geometric imperfections
K.Winkelmann & A. Sabik
Plastic buckling of orthotropic sandwich cylindrical shells
J. Zielnica
Dynamics
Natural frequencies and modal shapes of composite cylindrical panels with local damages
M. Barski & P. Romanowicz
The problem of flutter of a non-symmetric non-homogeneous over thickness rectangular plate
M.V. Belubekyan &A.M. Grishko
Rayleigh variational principle and vibrations of prestressed shells
V.A. Eremeyev & H. Altenbach
Vibrations and buckling of cylindrical shell made of a general anisotropic elastic material
S. Filippov & N. Naumova
Free vibrations of continuously inhomogeneous cylindrical bodies
A.Y. Grigorenko & T.L. Efimova
Dynamic response of FGM thin-walled plate structure subjected to a thermal pulse loading
J. Jankowski & K. Kowal-Michalska
Static and dynamic analysis of shear deformable composite shells of revolution by semi-analytical approach
A. Kayran
Nonlinear vibrations of laminated shells with layers of variable thickness
L.V. Kurpa & T.V. Shmatko
Parametric vibrations and dynamic instability of thin laminated plates with complex form
L.V. Kurpa, O.S. Mazur & V.V. Tkachenko
Homotopy perturbation solution for strong geometrical nonlinear vibration of flat prestressed orthotropic membrane structure
C.J. Liu, X.Y. Yang, H. Zhao & Z.L. Zheng
Dynamic response of FGM thin plate subjected to combined loads
R.J. Mania
Numerical analyses of explosive shape influence on steel I-beam behaviour subjected to pressure wave
L. Mazurkiewicz, D. Kolodziejczyk, J. Malachowski, M. Klasztorny, K. Damaziak & P. Baranowski
Preliminary assessment of correlation between vibrations and buckling load of stainless steel cylinders
E. Skukis, K. Kalnins & A. Chate
Eigenvalue analysis of graphene plates embedded into the elastic Pasternak foundation
M. Taczała & R. Buczkowski
Dynamic modelling of thin micro-periodic cylindrical shells
B. Tomczyk
Application of a three-field dual-mixed variational principle to modeling cylindrical shell problems in elastodynamics
B. Tóth
Variational Formulations of Vekua-type shell theories and some of their applications
S.I. Zhavoronok
Bioshells
Static and dynamic modelling blow-out type trauma of orbital wall
P. Kłosowski, A. Skorek & M. Zmuda Trzebiatowski
Mechanical compatibility of implants used in hernia repair with abdominal wall
I. Lubowiecka, K. Szepietowska, A. Tomaszewska & C. Szymczak
Cough influence on fascia-mesh system built for a hernia repair – an experimental research
A. Tomaszewska, I. Lubowiecka & C. Szymczak
Chosen aspects of skeletal system modeling: Numerical solid and shell models of femur part
W.Wojnicz, H. Olszewski & E.Wittbrodt
Numerical analysis
Geometrically nonlinear analysis of shells – Benchmark problems for Autocad Robot Structural Analysis Professional
A. Ambroziak & P. Kłosowski
Locking effects in the finite element method
A. Ambroziak
Numerical modeling of delamination growth in composite plates
P. Bajurko, J.Wilk, D. Szelag & P. Czarnocki
Elastoplastic material law in 6-parameter nonlinear shell theory
S. Burzynski, J. Chróscielewski & W.Witkowski
A direct approach to shakedown analysis on a piping nozzle structure under superposed thermal mechanical loadings
G. Chen, J.-W. Simon & D.Weichert
Equivalent 4-node Enhanced Assumed Strain and hybrid stress shell elements in 6-parameter theory
J. Chró´scielewski, K. Daszkiewicz & W.Witkowski
Failure analysis of footbridge made of composite materials
J. Chró´scielewski, I. Kreja, A. Sabik, B. Sobczyk & W.Witkowski
Numerical modeling of plate damage caused by a low energy impact
P. Dobrza´nski, Z. Lorenc & P. Czarnocki
Coupling of shell and beam computational models in failure analysis of steel frames
J. Dujc, B. Brank & A. Ibrahimbegovic
High-precision rectangular finite element for FGM plates
W. Gilewski & J. Pełczynski
Physical super-geometric FE formulation for moderately thick plates
W. Gilewski & J. Pełczynski
Modelling and numerical study of blind rivet nut/bolt joints of composite shell segments
M. Klasztorny & D. Nycz
On consistent estimations of drilling rotations in shell elements
S. Kugler, P.A. Fotiu & J. Murin
Method of imperfections modeling in plane state of stress structures using FEM
M. Mackiewicz, T. Chyzy & S. Matulewicz
Modeling of construction response in terms of large displacements and rotations using the standard plane finite elements
S. Matulewicz, T. Chyzy & M. Mackiewicz
On dynamic FE analysis of viscoplastic thin-walled structures with anisotropic gradient damage
A.D. Nguyen, M. Stoffel & D.Weichert
Nonlinear transient finite element analysis of layered composite plates and shells based on finite rotation theory
M.N. Rao & R. Schmidt
Strength of dented thin cylindrical shells under external pressure
N. Rathinam & B. Prabu
Enhanced displacement mode finite elements for explicit transient analysis focussing on efficiency
C. Schmied, K. Schweizerhof & S. Mattern
A numerical investigation into the plastic buckling of circular cylinders
R. Shamass, G. Alfano & F. Guarracino
A parametric study on flange vertical buckling of hybrid steel girders
T. Ueda, Y. Matoge, S. Shimizu, G. Fujita & N. Tanaka
Cylindrical shell finite element based on the proper generalized decomposition
P. Vidal, L. Gallimard & O. Polit
A consistently linearized multi-scale model for shell structures
W.Wagner & F. Gruttmann
Quasi-conforming elements based on Reissner-Mindlin plate theory
C.S.Wang & P. Hu
Curved shell finite elements for interlaminar stress analysis
R.G.Winkler
On some problems of choice of the shape function in the tolerance averaging technique in modeling free vibrations of the composite plate resting on elastic foundation
A.Wirowski
On mixed/enhanced Hu-Washizu shell elements with drilling rotation
K.Wisniewski & E. Turska
A higher order shell element for wave propagation in isotropic shell structures
A. Z˙ak & M. Krawczuk
Large rotation static and dynamic FE analysis for piezoelectric integrated smart structures
S.Q. Zhang & R. Schmidt
Engineering design
The improved measurements and stress analysis of cylinder/pipe with out-of-roundness
A.V. Bogdan, I.V. Orynyak & I.V. Lokhman
Response of a steel tank during earthquakes and mining tremors – experimental investigation
D. Burkacki & R. Jankowski
Shell Structures by three masters: Torroja, Sánchez R. and Candela
P. Cassinello
Assessment of existing natural draught cooling towers
T. Chmielewski, M. Simon & P. Osterrieder
Assessment of tensile forces in Sopot Forest Opera membrane by in situ measurements and iterative numerical strategy for inverse problem
J. Chróscielewski, M. Miskiewicz, Ł. Pyrzowski & K.Wilde
Numerical study on seismic response of a base-isolated building modelled with shell elements
T. Falborski & R. Jankowski
Safety of erection and repair of steel tanks with geometric imperfections using heavylift jack-up system
J. Górski, T. Mikulski & P. Sorn
Analysis of EN 1993-1-6 guidelines about determining amplitudes of equivalent imperfections of steel cylindrical shells subjected to uniform external pressure
T. Heizig
Stress state in axially compressed steel cylindrical shells supported discretely
E. Hotała & Ł. Skotny
Damage to a shell of a cooling tower caused by defective repairs
M. Kami´nski & M. Maszczak
Ultrasound testing of carbon composite shells by Phased Array technique
T. Katz & D. Szelag
Influence of geometrical imperfections on stresses in cylindrical shells
D. Kowalski
Numerical and experimental tests of the side lock of railway wagon loading platform for intermodal transport
W. Kraso´n, T. Niezgoda & M. Stankiewicz
Field test and three-dimensional numerical analysis of soil-steel arch with ribs
B. Kunecki & L. Korusiewicz
Stiffness analysis of sandwich panels with corrugated plywood and GFRP core
E. Labans, K. Kalnins & K. Zudrags
Numerical analysis of a temporary steel grandstand
N. Lasowicz & R. Jankowski
Analysis of interaction of reinforced concrete and prestressed concrete cylindrical silo structures with soil
P.M. Lewinski
Strength of pressure vessel head provided with a connector pipe
J. Lewinski & K. Magnucki
Calculation of an ultimate load value of a silo with geometric imperfections in the shape of eigenforms
M. Oziebło, K.Winkelmann & J. Górski
Numerically based assessment of suction bucket foundation shells
P. Schaumann & M. Gottschalk
The influence of selected imperfections on stability of turbofan engine casing
E. Szymczyk, J. Jachimowicz, T. Niezgoda & K. Puchała
Modular “ribbon” shell – a case study
R. Tarczewski
The use of Response Surface Methodology for reliability estimation of aluminum silo subjected to wind load
K.Winkelmann
Evaluation of safety of RC cooling tower with imperfections
R. Wróblewski & M. Kaminski
Application of the Bodner-Partom constitutive equations for modelling the technical fabric Valmex used for the hanging roof of the Forest Opera in Sopot
K. Zerdzicki, P. Kłosowski & K.Woznica
Author index
Biography
Wojciech Pietraszkiewicz, Jaroslaw Gorski