Journal ArticleDOI
A general higher-order one-dimensional model for large deformation analysis of solid bodies
A. Arbind,J. N. Reddy +1 more
TLDR
In this article, a general higher-order one-dimensional model for large deformation analysis of 3-D solids is developed, where the displacement vector of the cross-section or slices of a 3D body are approximated in the reference frame using general basis functions in polar coordinates.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2018-01-01. It has received 6 citations till now. The article focuses on the topics: Finite element method & Equations of motion.read more
Citations
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Journal ArticleDOI
A nonlinear 1-D finite element analysis of rods/tubes made of incompressible neo-Hookean materials using higher-order theory
TL;DR: In this paper, a higher-order 1D theory and its finite element model are presented to analyze the large deformation of thin or thick curved rods or pipes like 3-D structure, which have a space curve as their central axis.
Journal ArticleDOI
On the geometrically nonlinear analysis of sandwich shells with viscoelastic core: A layerwise dynamic finite element formulation
TL;DR: In this article, a finite element formulation for dynamic analysis of sandwich shells with viscoelastic core under large deformation is presented based on an incremental updated Lagrangian approach together with the Newmark integration scheme.
Journal ArticleDOI
A Higher-Order Theory for Open and Closed Curved Rods and Tubes Using a Novel Curvilinear Cylindrical Coordinate System
TL;DR: In this paper, a generalized curvilinear cylindrical coordinate (CCC) system is introduced in the reference configuration of the rod and a new generalized frame that contains the well-known orthonormal moving frames of Frenet and Bishop (a hybrid frame) as special cases.
Journal ArticleDOI
Implementation of visco-pseudo-elastic dampers for vibration reduction of sandwich shells using a large deformation FE technique
TL;DR: In this paper, a numerical method for investigating the appropriate arrangement of visco-pseudo-elastic dampers applicable to shell and plate structures under large deformation is introduced, where passive dampers are considered as discrete shape memory alloy wires and viscoelastic layers.
Journal ArticleDOI
A one-dimensional model of 3-D structure for large deformation: a general higher-order rod theory
A. Arbind,J. N. Reddy +1 more
TL;DR: In this paper, a higher-order one-dimensional model in a curvilinear cylindrical coordinate system and associated finite element model is presented, where a general displacement field of the cross section of the rod or the structures in the polar coordinate system is assumed, and the associated governing equation of motion in the Lagrangian frame of reference is derived.
References
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Book
Theory and Analysis of Elastic Plates and Shells
TL;DR: The Theory and Analysis of Elastic Plates and Shells, Second Edition as mentioned in this paper presents a complete survey of the behavior of these structural elements in aerospace, automotive, and civil engineering structures.
Book
Energy principles and variational methods in applied mechanics
TL;DR: In this paper, the authors present a review of the work, energy, and variational calculus of solid mechanics and their application in the analysis of plate models. But their focus is on the theory and analysis of plates.
Journal ArticleDOI
Effects of thickness stretching in functionally graded plates and shells
TL;DR: In this article, the effect of thickness stretching in plate/shell structures made by materials which are functionally graded (FGM) in the thickness directions was evaluated by removing or retaining the transverse normal strain in the kinematics assumptions of various refined plate and shell theories.
Journal ArticleDOI
Shear deformable shell elements for large strains and rotations
Manfred Bischoff,Ekkehard Ramm +1 more
TL;DR: In this paper, a geometrically non-linear version of the EAS-approach is applied which is based on the enhancement of the Green-Lagrange strains instead of the displacement gradient as originally proposed by Simo and Armero.
Book
An Introduction to Continuum Mechanics
TL;DR: In this paper, the authors introduce the subject of mechanics to senior and beginning graduate students so that they have a strong background in the basic principles common to all major engineering fields, including fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas.
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