TY - EJOU
AU - Tornabene, Francesco
AU - Viscoti, Matteo
AU - Dimitri, Rossana
TI - Static Analysis of Anisotropic Doubly-Curved Shell Subjected to Concentrated Loads Employing Higher Order Layer-Wise Theories
T2 - Computer Modeling in Engineering \& Sciences
PY - 2023
VL - 134
IS - 2
SN - 1526-1506
AB - In the present manuscript, a Layer-Wise (LW) generalized model is proposed for the linear static analysis of doublycurved shells constrained with general boundary conditions under the influence of concentrated and surface loads.
The unknown field variable is modelled employing polynomials of various orders, each of them defined within
each layer of the structure. As a particular case of the LW model, an Equivalent Single Layer (ESL) formulation is
derived too. Different approaches are outlined for the assessment of external forces, as well as for non-conventional
constraints. The doubly-curved shell is composed by superimposed generally anisotropic laminae, each of them
characterized by an arbitrary orientation. The fundamental governing equations are derived starting from an
orthogonal set of principal coordinates. Furthermore, generalized blending functions account for the distortion
of the physical domain. The implementation of the fundamental governing equations is performed by means of the
Generalized Differential Quadrature (GDQ) method, whereas the numerical integrations are computed employing
the Generalized Integral Quadrature (GIQ) method. In the post-processing phase, an effective procedure is adopted
for the reconstruction of stress and strain through-the-thickness distributions based on the exact fulfillment of
three-dimensional equilibrium equations. A series of systematic investigations are performed in which the static
response of structures with various curvatures and lamination schemes, calculated by the present methodology,
have been successfully compared to those ones obtained from refined finite element three-dimensional simulations.
Even though the present LW approach accounts for a two-dimensional assessment of the structural problem, it
is capable of well predicting the three-dimensional response of structures with different characteristics, taking
into account a reduced computational cost and pretending to be a valid alternative to widespread numerical
implementations.
KW - Concentrated load; doubly-curved shells; generalized differential quadrature; laminated anisotropic materials; layer-wise theory; mapping technique
DO - 10.32604/cmes.2022.022237