1st Edition

Shell Structures: Theory and Applications Volume 4 Proceedings of the 11th International Conference "Shell Structures: Theory and Applications", (SSTA 2017), October 11-13, 2017, Gdansk, Poland

Edited By Wojciech Pietraszkiewicz, Wojciech Witkowski Copyright 2018

    Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well.

    Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures.

    Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

    General lectures

    Computational models for the multifield analysis of laminated shells and related best theory diagrams
    E. Carrera & M. Petrolo

    Micro/nanoscale assembly of three-dimensional shell/ribbon architectures by compressive buckling
    H. Fu &Y. Zhang

    Topology and material optimization of plates and shells
    T. Lewi´nski, S. Czarnecki, R. Czubacki &T. Sokół

    Solid-shell formulations based on reduced integration—investigations of anisotropic material behaviour, large deformation problems and stability
    S. Reese, O. Barfusz, M. Schwarze & J.-W. Simon

    Challenges and their resolution in both philosophy and process to exploit advanced computation in shell structure design
    J.M. Rotter

    Theoretical modelling

    Asymptotic modelling of thin almost circular nonlinear interphases in the setting of heat transfer featuring significant sources/sinks
    D. Andreeva &W. Miszuris

    On isotropic linear elastic material laws for directed planes
    M. Aßmus, J. Eisenträger & H. Altenbach

    Nonlinear bending analysis of functionally graded plates with complex shape resting on elastic foundations
    J. Awrejcewicz, L.V. Kurpa & K.I. Lyubitska

    Modelling of equivalent shells of revolution with negative Gaussian curvature
    T. Belica & K. Magnucki

    Design optimization and failure modelling of ribbed cross-laminated timber plates
    B. Brank, A. Stani´c, M. Lavrencic & B. Hudobivnik

    Lagrangian mechanics of classical shells: Theory and calculation of shells of revolution
    V.V. Eliseev &T.V. Zinovieva

    On bending of laminate plates with interfacial stresses
    V.A. Eremeyev, V.I. Kushch & F. Stachowicz

    On characterization of an elastic network within the six-parameter shell theory
    V.A. Eremeyev

    On extended models of plates based on linear strain gradient elasticity
    V.A. Eremeyev & E.C. Aifantis

    On phase equilibrium of an elastic liquid shell with wedge disclination
    V.A. Eremeyev &V. Konopinska-Zmysłowska

    Biaxial bias extension test for pantographic sheets
    I. Giorgio, U. Andreaus & D. Scerrato

    Modelling of heat conduction in multi-layered shells on planar mesh
    J. Ja´skowiec & P. Plucinski

    General and standard tolerance models of thin two-directional periodic plates
    J. Je˛drysiak

    A cylindrical membrane partially stretched over a rigid cone
    A.M. Kolesnikov & I.S. Purtova

    On mechanical moduli of single layer graphene sheets
    S.N. Korobeynikov, V.V. Alyokhin &A.V. Babichev

    A study on transverse shear correction for laminated sandwich panels
    I. Kreja &A. Sabik

    Interaction of rectangular sandwich plates with waves in acoustic medium
    N.A. Lokteva & D.V. Tarlakovskii

    Adhesion model of hyperfine shells (SWNT)
    S.A. Lurie, P.A. Belov & N.P. Tuchkova

    On the modeling of periodic three-layered structures with inert core
    J. Marczak & J. Je˛drysiak

    Dynamic tolerance modeling of plane-structure with bidirectional microstructure
    B. Michalak & M. Rabenda

    Damage growth of laminated composite structures containing a hole
    A. Muc & M. Sikon

    Thermoelastic problems of periodically stratified thick plates
    E. Pazera & J. Je˛drysiak

    Structural behaviour of sandwich structures with local debondings between the core and the facings
    Z. Pozorski & J. Pozorska

    Homogenization of a second order plate model
    E. Pruchnicki

    Theory of thin plate in asymmetric elasticity
    N.N. Rogacheva

    Dislocations, disclinations, and metric anomalies as sources of global strain incompatibility in thin shells
    A. Roychowdhury &A. Gupta

    The construction of Timoshenko type theory for elastic multilayered shells
    S.H. Sargsyan

    On the shear stiffness influence for modelling of deformations of pantographic sheets
    D. Scerrato, I.A. Zhurba Eremeeva, T. Lekszycki & N.L. Rizzi

    Equilibrium of cracked shell with flexible coating
    I.P. Shatskyi, M.V. Makoviichuk &A.B. Shcherbii

    Review of estimation of failure resistance of cylindrical pressure vessels with internal cracks
    B. Szybinski & P. Romanowicz

    On the compatibility equations in shell theories considering transverse shear and normal strains
    D.V. Tarlakovskii & S.I. Zhavoronok

    How to easily model doubly curved shells with variable radii of curvature
    F. Tornabene, N. Fantuzzi & M. Bacciocchi

    Applied theory of shallow multilayered or functionally graded shells
    P.E. Tovstik &T.P. Tovstik

    Torsion of an elastic transversely isotropic half-space with a coating reinforced by a functionally graded interlayer
    A.S. Vasiliev, S.S. Volkov & S.M. Aizikovich

    A general higher-order shell theory based on the analytical dynamics of constrained continuum systems
    S.I. Zhavoronok

    The equations of motion of micropolar elastic shells in cylindrical Eulerian coordinates
    L.M. Zubov


    Local stability of a plate with a circular inclusion under tensile stress
    S.M. Bauer, S.V. Kashtanova, N.F. Morozov &A.M. Ermakov

    Methods of analysis of large deformation and stability of elastoplastic shells
    V.G. Bazhenov, A.I. Kibec, E.V. Nagornykh &A.A. Artemyeva

    A plastic flow based plate buckling theory
    J. Becque

    The effects of varying axial length on buckling of axially compressed cylinders
    J. Błachut

    On instability of a three-layered nonlinear elastic rectangular plate with prestressed middle layer
    V.V. Eremeev & L.M. Zubov

    Buckling and optimal design of ring-stiffened thin cylindrical shell
    S. Filippov

    Exploring islands of stability in the design space of cylindrical shell structures
    R.M.J. Groh &A. Pirrera

    Numerical investigations on buckling of cylindrical metal silos with corrugated sheets and open-sectional column profiles
    P. Hajko, J. Tejchman & M. Wójcik

    A novel method for estimating minimum strength for elastic buckling under axial compression of thin shell structure
    K. Hayashi & M. Ishinabe

    Buckling of simplified models of silo with corrugated walls and vertical stiffeners
    P. Iwicki, K. Rejowski & J. Tejchman

    Buckling of thin-walled steel shells with closely spaced, discrete and flexible anchors under wind load
    A. Jäger-Cañás, J. Bothe & K. Thiele

    Experimental investigations of buckling of pressurized spherical caps
    S. Kołodziej & J. Marcinowski

    Influence of elements of coupling stiffness sub-matrix on nonlinear stability FGM-FML thin-walled columns with open cross-section
    Z. Kolakowski, R.J. Mania &A. Teter

    Deformation and stability of thin-walled shallow shells in the case of periodically non-uniform stress-strain state
    V.L. Krasovsky, O.V. Lykhachova &Ya.O. Bessmertnyi

    Elastic buckling of a sandwich cylindrical panel with corrugated core
    K. Magnucki, S. Milecki & E. Magnucka-Blandzi

    Thin laminated cylindrical shells containing magnetorheological elastomers: Buckling and vibrations
    G. Mikhasev

    Buckling analysis of multilayered plates with embedded circular delaminations and subjected to axial compression
    A. Muc & P. Romanowicz

    Geometrically nonlinear strain and buckling analysis of sandwich plates and shells reinforced on their edge
    V.N. Paimushin, M.V. Makarov, I.B. Badriev & S.A. Kholmogorov

    On stability of a nonlinearly elastic rectangular plate with surface stresses
    D.N. Sheydakov

    Elastic postbuckling deformation analysis of thin periodic plates
    M. Swia˛tek & Ł. Domagalski

    High-fidelity design methods to determine knockdown factors for the buckling load of axially loaded composite cylindrical shells
    H.N.R.Wagner, C. Hühne, S. Niemann & L.Weiß

    Stability of a multilayered non-circular cylindrical shell under external pressure
    A. Zelinskaya & P.E. Tovstik


    Compound shell structures: Statics, stability and vibrations
    Ya. Grigorenko, E. Bespalova & N. Yaremchenko

    Modelling of elastic wave propagation in a bolted joint using a thin layer of shell elements
    R. Ke˛dra & M. Rucka

    Analysis of modal parameters of box shaped laminated shells
    B. Markiewicz & L. Ziemianski

    Transient contact problem for spherical shell and elastic half-space
    E.Yu. Mikhailova, G.V. Fedotenkov & D.V. Tarlakovskii

    The impact of liquid filled concentric spherical shells with a rigid wall
    E.Yu. Mikhailova, G.V. Fedotenkov & D.V. Tarlakovskii

    Numerical analysis of free vibrations of a tube shaped laminated cantilever
    B. Miller & L. Ziemianski

    On the research of nonstationary dynamic problems for visco-elastic cylindrical shells
    A.V. Netrebko & S.G. Pshenichnov

    Acoustic influence on the plate, located between the barriers and fixed through the elastic interlayers in the cell of the rigid lattice
    V.N. Paimushin & R.K. Gazizullin

    Influence of imperfection of supported edges of three-layered annular plate on dynamic response
    D. Pawlus

    Application of guided waves in the evaluation of steel-concrete adhesive connection
    M. Rucka & B. Zima

    Lamb wave propagation in a single lap adhesive joint
    M. Rucka, J. Lachowicz & E.Wojtczak

    Using the R-functions theory for investigation of nonlinear vibrations of FGM shallow shells
    T.V. Shmatko &A. Bhaskar

    Dynamic modelling of thin longitudinally graded cylindrical shells
    B. Tomczyk & P. Szczerba

    Tolerance modelling of dynamic problems for thin biperiodic shells
    B. Tomczyk &A. Litawska

    Numerical analysis

    Finite element simulation of cross shaped window panel supports
    A. Ambroziak

    Modal analysis of a fish-belly flap type of steel water gate
    K. Brusewicz,W. Sterpejkowicz-Wersocki & R. Jankowski

    Dual and mixed axisymmetric shell finite elements using NURBS mid-surface interpolation
    D. Burmeister & B. Tóth

    Mixed 4-node shell element with assumed strain and stress in 6-parameter theory
    J. Chróscielewski, S. Burzynski, K. Daszkiewicz &W.Witkowski

    Nonlinear FEM analysis of irregular shells composed of fiber metal laminates
    J. Chróscielewski, S. Burzynski, A. Sabik, B. Sobczyk &W.Witkowski

    Triangular and quadrilateral flat shell finite elements for nonlinear analysis of thin-walled reinforced concrete structures in SCAD software
    S.Yu. Fialko &V.S. Karpilovskyi

    Physical shape functions in 6-parameter shell theory finite elements
    W. Gilewski, A. Al Sabouni-Zawadzka & J. Pełczynski

    A mixed refined zigzag theory for the modeling of layered plate structures
    M. Köpple &W.Wagner

    Strength and buckling of an untypical dished head of a cylindrical pressure vessel
    K. Magnucki, M. Rodak & P. Jasion

    Estimation of sandwich cylindrical shells with the FRP skins and the core of the mineral wool plates
    M.V. Mishnev

    FEM simulation of laminate failure in the three point bending
    A. Sabik

    A simplified co-rotational approach for triangular shell elements based on the pure deformational mode
    Y.Q. Tang & S.L. Chan

    Computer simulation of cylindrical shell deformation based on micropolar media equations
    M. Varygina

    Recent improvements to nine-node shell element MITC9 with drilling rotations
    K.Wisniewski & E. Turska

    Analytical aspects of the 3D-based hierarchical models of three-dimensional, transition and symmetric-thickness piezoelectrics as applied in adaptive FEM
    G. Zboinski

    Engineering design

    Shape transformations of folded sheets providing shell free forms for roofing
    J. Abramczyk

    Sensitivity analysis in design process of sandwich U-shaped composite footbridge
    T. Ferenc, Ł. Pyrzowski, J. Chróscielewski &T. Mikulski

    The validation process of truss model with joint eccentricities
    M. Gordziej-Zagórowska, E. Urba´nska-Galewska & Ł. Pyrzowski

    Imperfection sensitivity study of discretely supported shells with vertical stiffeners
    E. Hotała, Ł, Skotny & J. Klimiuk

    Experimental investigation of limit load of composite sandwich plate with cut-out
    H. Kopecki & Ł. Swie˛ch

    The effect of corrosion and time on the behaviour of a steel culvert
    B. Kunecki, L. Janusz & L. Korusiewicz

    Influence of an applied bearing system on behaviour of multi-span footbridge
    M. Miskiewicz & Ł. Pyrzowski

    Load testing of a suspended footbridge in Radom (Poland)
    M. Miskiewicz, Ł. Pyrzowski, K.Wilde, J. Chróscielewski & J. Kałuza

    Deformations of multilayered laminated cylindrical shells arising during manufacturing process
    A. Muc & P. Romanowicz

    Imaging elastic degradation in reinforced concrete slab using methodology of ultrasonic tomography and Tikhonov regularization
    Z. Perkowski, K. Tatara & M. Czabak

    Experimental study and numerical calculations in the analysis of thin-walled structures
    A. Piekarczuk

    Numerical analysis of mechanical joint in thin-walled composite structures
    K. Puchała, E. Szymczyk & J. Jachimowicz

    Composite sandwich footbridge—measured dynamic response vs. FEA
    Ł. Pyrzowski, B. Sobczyk, M. Rucka, M. Mi´skiewicz & J. Chróscielewski

    Collapse mode of flange vertical buckling of an I-sectioned steel girder
    S. Shimizu, T. Ohkawa & N. Tanaka

    Analysis of sandwich panels with hybrid core made of aerogel and PIR foam
    R. Studzinski

    Optimum design of a small wind turbine
    T. Szafranski, J. Małachowski, K. Damaziak & J. Bukała

    Stress analysis of the bridge hangers in terms of the fatigue verification
    M. Szafranski, T. Galewski & R. Łapigrowski

    Analysis of the cyclic load-unload-reload tests of VALMEX aged fabric
    K. Zerdzicki, P. Kłosowski & K.Woznica

    Correlation between natural frequencies and buckling load in a stiffened shell
    Ł. Z˙muda-Trzebiatowski & P. Iwicki

    Launching of steel bridge girder. Application of nonlinear shell models
    K. Zoltowski & M. Binczyk

    Shell model of multiple-row moment I-section end-plate joint
    K. Zoltowski & P. Kalitowski

    Biomechanical problems

    Accuracy of applanation tonometry readings before and after refractive surgery
    S.M. Bauer, L. Venatovskaya & E. Voronkova

    Surface sliding in human abdominal wall numerical models: Comparison of single-surface and multi-surface composites
    P. Bielski & I. Lubowiecka

    Membrane model of human abdominal wall. Simulations vs. in vivo measurements
    I. Lubowiecka, A. Tomaszewska, K. Szepietowska, C. Szymczak, M. Lichodziejewska-Niemierko & M. Chmielewski

    Parametric 3D FE model of coronary stent structure for radial force assessment
    L. Mazurkiewicz, J. Bukala & J. Malachowski

    Isogeometric Kirchhoff–Love shells: Numerics, constitution and biomechanical applications
    F. Roohbakhshan, T.X. Duong & R.A. Sauer

    Global sensitivity analysis of membrane model of abdominal wall with surgical mesh
    K. Szepietowska, I. Lubowiecka, B. Magnain & E. Florentin

    FEM approach to modelling of an irregular trabecular structure
    W.Wojnicz & E.Wittbrodt

    Miscellaneous topics

    Application and mechanical properties of aluminium alloys
    A. Ambroziak & M.T. Solarczyk

    Failure of cold-formed beam: How does residual stress affect stability?
    P. Bielski, O.Wysocki & J. Czy˙zewicz

    TS-based RSM-aided design of cold-formed steel stiffened C-sectional columns susceptible to buckling
    P. Deniziak & K.Winkelmann

    Generation of random fields to reflect material and geometric imperfections of plates and shells
    J. Górski & K.Winkelmann

    Beams in plane bending
    R. Kienzler & P. Schneider

    Local buckling of compressed flange of cold-formed channel members made of aluminum alloy
    M. Kujawa & C. Szymczak

    Application of lightweight cement composite with foamed glass aggregate in shell structures
    M. Kurpinska &T. Ferenc

    Modal analysis of temporary steel grandstand equipped with different bracing systems
    N. Lasowicz & R. Jankowski

    Numerical simulation of hardening of concrete plate
    A. Mariak, J. Chróscielewski & K.Wilde

    Generalized Taylor formula and shell structures for the analysis of the interaction between geosythetics and engineering structures of transportation lines
    E. Mieloszyk & S. Grulkowski

    Nonlinear forced vibrations of periodic beams
    M. Swia˛tek & Ł. Domagalski

    Relation between optimal lattice shell shape and elastic curve
    R. Tarczewski & M. Swie˛ciak


    Prof. Dr. Wojciech Pietraszkiewicz and Wojciech Witkowski (MSci) are both faculty members at the Faculty of Civil and Environmental Engineering, Department of Mechanics of Materials and Structures of Gdansk University of Technology in Gdansk, Poland.