Journal ArticleDOI
Isogeometric analysis of laminated composite and functionally graded sandwich plates based on a layerwise displacement theory
Ning Liu,Ann E. Jeffers +1 more
TLDR
In this article, a multi-layered shell formulation is developed based on a layerwise deformation theory within the framework of isogeometric analysis (IGA), which utilizes Non-Uniform Rational B-splines (NURBS) to represent the geometry as well as to describe the field variables.About:
This article is published in Composite Structures.The article was published on 2017-09-15. It has received 89 citations till now. The article focuses on the topics: Isogeometric analysis & Displacement field.read more
Citations
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Journal ArticleDOI
An overview of layerwise theories for composite laminates and structures: Development, numerical implementation and application
TL;DR: This review is expected to provide a clear picture of layerwise theory for modeling of composite laminated structures and serve as a useful resource and guide to researchers who intend to extend their work into these research areas.
Journal ArticleDOI
The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis
TL;DR: In this article, a modified couple stress theory and isogeometric analysis (IGA) was used to simulate the small-scale effects on bending and buckling on composite laminate microplate under complex boundary conditions in thermal environment.
Journal ArticleDOI
A review of the analysis of sandwich FGM structures
TL;DR: A detailed study has been carried out regarding the application of different methods and theories available in the literature for analyzing sandwich FGM structures under different loading conditions and will set a benchmark for future studies for carrying out further research in a similar direction.
Journal ArticleDOI
Isogeometric analysis of size-dependent effects for functionally graded microbeams by a non-classical quasi-3D theory
TL;DR: In this paper, a novel and effective computational approach within the context of isogeometric analysis (IGA) is developed for analyzing size-dependent mechanical behaviors of functionally graded (FG) microbeams.
Journal ArticleDOI
A geometrically exact isogeometric Kirchhoff plate: Feature-preserving automatic meshing and C1 rational triangular Bézier spline discretizations
Ning Liu,Ann E. Jeffers +1 more
TL;DR: The analysis of the Kirchhoff plate is performed using rational Bézier triangles in isogeometric analysis coupled with a feature‐preserving automatic meshing algorithm that admits localized geometric features (eg, small geometric details and sharp corners) with high resolution.
References
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Book
Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition
TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
Mechanics of laminated composite plates and shells : theory and analysis
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
Journal ArticleDOI
Exact solutions for rectangular bidirectional composites and sandwich plates
TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Journal ArticleDOI
A higher-order shear deformation theory of laminated elastic shells
J. N. Reddy,C.F. Liu +1 more
TL;DR: In this article, a higher-order shear deformation theory for elastic shells was developed for shells laminated of orthotropic layers, which is a modification of the Sanders' theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces.