Locking free isogeometric formulations of curved thick beams

R Bouclier, T Elguedj, A Combescure - Computer Methods in Applied …, 2012 - Elsevier
We are interested in this work in methods that alleviate shear and membrane locking,
typically involved in thick plates and shells. We investigate the use of higher order NURBS to …

Improved numerical integration for locking treatment in isogeometric structural elements. Part II: Plates and shells

C Adam, S Bouabdallah, M Zarroug… - Computer Methods in …, 2015 - Elsevier
B-spline reduced quadrature rules are proposed in the context of isogeometric analysis.
When performing a full Gaussian integration, the high regularity provided by spline basis …

An efficient curved beam element for thermo-mechanical nonlinear analysis of functionally graded porous beams

M Rezaiee-Pajand, N Rajabzadeh-Safaei, AR Masoodi - Structures, 2020 - Elsevier
This research is aimed to develop an efficient and high-performance four-node iso-
parametric beam element, which is composed of Functionally Graded Material (FGM). In …

Improved numerical integration for locking treatment in isogeometric structural elements, Part I: Beams

C Adam, S Bouabdallah, M Zarroug… - Computer Methods in …, 2014 - Elsevier
A general mathematical framework is proposed, in this paper, to define new quadrature
rules in the context of B-spline/NURBS-based isogeometric analysis. High order continuity …

Large amplitude free flexural vibrations of functionally graded graphene platelets reinforced porous composite curved beams using finite element based on …

O Polit, B Pradyumna, M Ganapathi - International Journal of Non-Linear …, 2019 - Elsevier
In this paper, the large amplitude free flexural vibration characteristics of fairly thick and thin
functionally graded graphene platelets reinforced porous curved composite beams are …

Variable stiffness composite laminated beams-nonlinear free flexural vibration behavior using a sinusoidal based shear flexible structural theory accounting for …

V Barathan, V Rajamohan, M Haboussi… - International Journal of …, 2022 - Elsevier
In the present work, formulation for the nonlinear free vibrational behavior of laminated
variable stiffness composite beams with curvilinear fibers is made incorporating sinusoidal …

Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches

E Viola, M Dilena, F Tornabene - Journal of Sound and Vibration, 2007 - Elsevier
This paper investigates the in-plane linear dynamic behaviour of multi-stepped and multi-
damaged circular arches under different boundary conditions. Cracked cross-sections are …

An accurate two‐node finite element for shear deformable curved beams

Z Friedman, JB Kosmatka - International journal for numerical …, 1998 - Wiley Online Library
An accurate two‐node (three degrees of freedom per node) finite element is developed for
curved shear deformable beams. The element formulation is based on shape functions that …

A two‐noded locking–free shear flexible curved beam element

P Raveendranath, G Singh… - International Journal for …, 1999 - Wiley Online Library
A new two‐noded shear flexible curved beam element which is impervious to membrane
and shear locking is proposed herein. The element with three degrees of freedom at each …

Nonlinear bending of porous curved beams reinforced by functionally graded nanocomposite graphene platelets applying an efficient shear flexible finite element …

B Anirudh, TB Zineb, O Polit, M Ganapathi… - International Journal of …, 2020 - Elsevier
In the present study, the nonlinear flexural bending of thick and thin porous curved
composite beams reinforced and functionally graded by graphene platelets is carried out …