Quadrilateral Finite Element of Plane Body

2020 ◽  
pp. 303-316
Author(s):  
A.I. Rusakov
Keyword(s):  
Finite Element ◽  
Plane Body ◽  
Quadrilateral Finite Element

Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

2015 ◽  
Vol 8 (4) ◽  
pp. 582-604
Author(s):  
Zhengqin Yu ◽  
Xiaoping Xie
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Stability Result ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Discrete Scheme ◽  
Fully Discrete ◽  
Quadrilateral Finite Element ◽  
Hybrid Stress Finite Element ◽  
Hybrid Stress

AbstractThis paper proposes and analyzes semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. A hybrid stress quadrilateral finite element approximation is used in the space directions. A second-order center difference is adopted in the time direction for the fully discrete scheme. Error estimates of the two schemes, as well as a stability result for the fully discrete scheme, are derived. Numerical experiments are done to verify the theoretical results.

scholarly journals Explicit Dynamic Finite Element Method for Failure with Smooth Fracture Energy Dissipations

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jeong-Hoon Song ◽  
Thomas Menouillard ◽  
Alireza Tabarraei
Keyword(s):  
Finite Element ◽  
Fracture Energy ◽  
Computational Cost ◽  
Quadrature Rule ◽  
Dynamic Failure ◽  
Structural Dynamic ◽  
Integration Schemes ◽  
Hourglass Control ◽  
Quadrilateral Finite Element ◽  
Explicit Dynamic

A numerical method for dynamic failure analysis through the phantom node method is further developed. A distinct feature of this method is the use of the phantom nodes with a newly developed correction force scheme. Through this improved approach, fracture energy can be smoothly dissipated during dynamic failure processes without emanating noisy artifact stress waves. This method is implemented to the standard 4-node quadrilateral finite element; a single quadrature rule is employed with an hourglass control scheme in order to decrease computational cost and circumvent difficulties associated with the subdomain integration schemes for cracked elements. The effectiveness and robustness of this method are demonstrated with several numerical examples. In these examples, we showed the effectiveness of the described correction force scheme along with the applicability of this method to an interesting class of structural dynamic failure problems.

scholarly journals Numerical Assessment of the Performance of Elastic Cloaks for Transient Flexural Waves

2020 ◽  
Vol 7 ◽  
Author(s):  
Marco Rossi ◽  
Daniele Veber ◽  
Massimiliano Gei
Keyword(s):  
Finite Element ◽  
Thin Plates ◽  
Winkler Foundation ◽  
Finite Element Code ◽  
Flexural Waves ◽  
Transient Waves ◽  
Mathematical Transformation ◽  
Plane Body ◽  
Numerical Assessment ◽  
Subgrade Modulus

A relevant application of transformation elastodynamics has shown that flexural waves in a Kirchhoff-Love plate can be diverted and channeled to cloak a region of the ambient space. To achieve the goal, an orthotropic meta-structural plate should be employed. However, the corresponding mathematical transformation leads to the presence of an unwanted strong compressive prestress, likely beyond the buckling threshold of the structure, with a set of in-plane body forces to warrant equilibrium. In addition, the plate must possess, at the same time, high bending stiffnesses, but a null twisting rigidity. With the aim of estimating the performance of cloaks modelled with approximate parameters, an in-house finite element code, based on a subparametric technique, is implemented to deal with the cloaking of transient waves in orthotropic thin plates. The tool allows us to explore the sensitivity of specific stiffness parameters that may be difficult to match in a real cloak design. In addition, the finite element code is extended to investigate a meta-plate interacting with a Winkler foundation, to confirm how the subgrade modulus should transform in the cloak region.

A simple four-noded quadrilateral finite element for plates

1995 ◽  
Vol 19 (3) ◽  
pp. 195-207 ◽  
Author(s):  
Jian-Wu Zhang ◽  
Wilfried B. Kratzig
Keyword(s):  
Finite Element ◽  
Quadrilateral Finite Element

scholarly journals Quadrilateral Finite Element Monte Carlo Simulation of Complex Shape Compound FETs

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 127-130
Author(s):  
S. Babiker ◽  
A. Asenov ◽  
J. R. Barker ◽  
S. P. Beaumont
Keyword(s):  
Finite Element ◽  
Monte Carlo ◽  
Carrier Transport ◽  
Particle Simulation ◽  
Research Centre ◽  
Design Work ◽  
Hot Carrier ◽  
Multiple Data ◽  
Device Geometry ◽  
Quadrilateral Finite Element

The complex recess and gate shape of modem compound FETs greatly affect the device parasitics and therefore impose the need for proper description of the device geometry and surface conditions in any practical device simulations. In this paper we describe a new Monte Carlo (MC) module incorporated in our Heterojunction 2D Finite element FET simulator H2F [1]. The module combines realistic quadrilateral finite-element description of the device geometry with realistic particle simulation of the non-equilibrium hot carrier transport in short recess gate compound FETs. A Single Programme Multiple Data (SPMD) parallel approach makes it possible to use our MC simulator for practical design work, generating the necessary I-V characteristics in parallel. The capabilities of the finite element MC module are illustrated in example simulations of a 200nm pseudomorphic HEMT fabricated in the Nanoelectronics Research Centre of Glasgow University.

Eigen Value Analysis of Glass Fiber Reinforced Composite Plate

2012 ◽  
Vol 488-489 ◽  
pp. 676-680
Author(s):  
Pramod Kumar ◽  
S.K. Tiwari
Keyword(s):  
Finite Element ◽  
Frequency Response ◽  
Composite Plate ◽  
Composite Plates ◽  
Laminated Plates ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Advanced Composite ◽  
Reinforced Composite ◽  
Quadrilateral Finite Element

Finite element analysis has been used to find out eigen values and mode shape for fiber reinforced composite plates. FRC plates are important structural elements in modern engineering structures. Vibrations of laminated composite plates have been the subject of significant research activities in recent years. Last two decades have witnessed continued development of advanced composite and other high performance aerospace materials with increased specific strength and modulus, longer fatigue life, higher combat survivability etc. Advanced composite laminates extend the possibility of optimal design through the variation of stacking sequence and fiber orientation, known as composite tailoring. The benefits that accrue from this are not attainable without solving the complexities that are introduced by various coupling effects, such as bending–stretching and bending-twisting. Even, as the matrix material is of relatively low shearing stiffness as compared to the fibers, a reliable prediction of frequency response of laminated plates must account for transverse shear deformation. A four noded quadrilateral finite element is considered for the study of frequency response of composite plate. An analytical solution to the boundary value problem of free vibration response of arbitrarily laminated plates subjected to an admissible boundary condition is presented. A rectangular fiber reinforced composite plate is modeled in FEM software (NISA 15) and natural frequencies, mode shapes are obtained and are compared with the available analytical solutions.

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