Multidimensional Model for the Stress Analysis of Reinforced Shell Structures

The present paper proposes an approach that can be used to mix one-, two-, and three-dimensional refined models, derived using the Carrera Unified Formulation, to build a variable kinematic model t...

[1]  A. E. H. Love,et al.  The Small Free Vibrations and Deformation of a Thin Elastic Shell , 1887 .

[2]  Erasmo Carrera,et al.  Multilayered Shell Theories Accounting for Layerwise Mixed Description, Part 1: Governing Equations , 1999 .

[3]  Cecil Armstrong,et al.  Mixed‐dimensional coupling in finite element models , 2000 .

[4]  W. F. Cofer,et al.  A three-dimensional, shell-solid transition element for general nonlinear analysis , 1991 .

[5]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[6]  H. Dhia Problèmes mécaniques multi-échelles: la méthode Arlequin , 1998 .

[7]  J. H. Argyris,et al.  Matrix analysis of three-dimensional elastic media - small and large displacements , 1965 .

[8]  B.A.J. Mustafa,et al.  Prediction of natural frequency of vibration of stiffened cylindrical shells and orthogonally stiffened curved panels , 1987 .

[9]  Erasmo Carrera,et al.  Use of Lagrange multipliers to combine 1D variable kinematic finite elements , 2013 .

[10]  Pablo J. Blanco,et al.  A variational approach for coupling kinematically incompatible structural models , 2008 .

[11]  Thomas Gmür,et al.  A set of three-dimensional solid to shell transition elements for structural dynamics , 1993 .

[12]  Erasmo Carrera,et al.  Refined beam elements with only displacement variables and plate/shell capabilities , 2012 .

[13]  Karan S. Surana,et al.  Geometrically non-linear formulation for the three dimensional solid-shell transition finite elements , 1982 .

[14]  Carlos G. Davila,et al.  Solid-to-shell transition elements for the computation of interlaminar stresses , 1994 .

[15]  Erasmo Carrera,et al.  MITC technique extended to variable kinematic multilayered plate elements , 2010 .

[16]  Jimmy C. Ho,et al.  Variational asymptotic beam sectional analysis – An updated version , 2012 .

[17]  M. Turner Stiffness and Deflection Analysis of Complex Structures , 1956 .

[18]  Antonio Tralli,et al.  A hybrid stress-assumed transition element for solid-to-beam and plate-to-beam connections , 2002 .

[19]  Cecil G. Armstrong,et al.  Mixed Dimensional Coupling in Finite Element Stress Analysis , 2002, Engineering with Computers.

[20]  Guillaume Rateau,et al.  The Arlequin method as a flexible engineering design tool , 2005 .

[21]  C. Guedes Soares,et al.  Free vibration and dynamic response analysis of stiffened parabolic shells using equivalent orthotropic shell parameters , 2013 .

[22]  Erasmo Carrera,et al.  Carrera Unified Formulation for Free-Vibration Analysis of Aircraft Structures , 2016 .

[23]  Thomas Gmür,et al.  Three‐dimensional solid‐to‐beam transition elements for structural dynamics analysis , 1993 .

[24]  Karan S. Surana,et al.  Transition finite elements for three‐dimensional stress analysis , 1980 .

[25]  Gaetano Giunta,et al.  Variable kinematic beam elements coupled via Arlequin method , 2011 .

[26]  J. N. Reddy,et al.  A solid-shell transition element for geometrically non-linear analysis of laminated composite structures , 1988 .

[27]  Edward A. Sadek,et al.  A finite element model for the analysis of stiffened laminated plates , 2000 .

[28]  Finn Jacobsen,et al.  Improvements of the smearing technique for cross-stiffened thin rectangular plates , 2011 .

[29]  D. Hodges,et al.  Validation of the Variational Asymptotic Beam Sectional Analysis , 2002 .

[30]  Erasmo Carrera,et al.  Multilayered Shell Theories Accounting for Layerwise Mixed Description, Part 2: Numerical Evaluations , 1999 .

[31]  Erasmo Carrera,et al.  Finite Element Analysis of Structures Through Unified Formulation: Carrera/Finite , 2014 .

[32]  Cecil Armstrong,et al.  Automated mixed dimensional modelling from 2D and 3D CAD models , 2011 .