ELASTO-PLASTIC FRACTURE ANALYSIS OF CONCRETE MEMBERS BY THE HYBRID STRESS ONE-DIMENSIONAL FINITE ELEMENTS CONSIDERING SOFTENING CHARACTERISTIC

The conception of special finite elements called multi-area elements for the analysis of structures with different stiffness areas has been presented in the paper. A new type of finite element has been determined in order to perform analyses and calculations of heterogeneous, multi-coherent, and layered structures using fewer finite elements and it provides proper accuracy of the results. The main advantage of the presented special multi-area elements is the possibility that areas of the structure with different stiffness and geometrical parameters can be described by single element integrated in subdivisions (sub-areas). The formulation of such elements has been presented with the example of one-dimensional elements. The main idea of developed elements is the assumption that the deformation field inside the element is dependent on its geometry and stiffness distribution. The deformation field can be changed and adjusted during the calculation process that is why such elements can be treated as self-adaptive. The application of the self-adaptation method on strain field should simplify the analysis of complex non-linear problems and increase their accuracy. In order to confirm the correctness of the established assumptions, comparative analyses have been carried out and potential areas of application have been indicated.

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Fracture analysis of one-dimensional hexagonal quasicrystals: Researches of a finite dimension rectangular plate by boundary collocation method

Journal of Mechanical Science and Technology ◽

10.1007/s12206-017-0434-4 ◽

2017 ◽

Vol 31 (5) ◽

pp. 2373-2383 ◽

Cited By ~ 4

Author(s):

Cheng Jiaxing ◽

Dongfa Sheng ◽

Pengpeng Shi

Keyword(s):

Rectangular Plate ◽

Collocation Method ◽

Finite Dimension ◽

Fracture Analysis ◽

One Dimensional ◽

Boundary Collocation Method

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DISCRETE COMPACTNESS FOR p AND hp 2D EDGE FINITE ELEMENTS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202503003070 ◽

2003 ◽

Vol 13 (11) ◽

pp. 1673-1687 ◽

Cited By ~ 15

Author(s):

DANIELE BOFFI ◽

LESZEK DEMKOWICZ ◽

MARTIN COSTABEL

Keyword(s):

Finite Element ◽

Finite Elements ◽

Model Problem ◽

Finite Element Approximation ◽

Stability Estimate ◽

Element Approximation ◽

Dimensional Model ◽

Compactness Property ◽

One Dimensional ◽

Discrete Compactness

In this paper we discuss the hp edge finite element approximation of the Maxwell cavity eigenproblem. We address the main arguments for the proof of the discrete compactness property. The proof is based on a conjectured L2 stability estimate for the involved polynomial spaces which has been verified numerically for p≤15 and illustrated with the corresponding one dimensional model problem.

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Established Numerical Techniques for the Structural Analysis of a Regional Aircraft Landing Gear

Advances in Materials Science and Engineering ◽

10.1155/2018/8536581 ◽

2018 ◽

Vol 2018 ◽

pp. 1-21 ◽

Cited By ~ 5

Author(s):

F. Caputo ◽

A. De Luca ◽

A. Greco ◽

A. Marro ◽

A. Apicella ◽

...

Keyword(s):

Finite Elements ◽

Numerical Models ◽

Three Dimensional ◽

Landing Gear ◽

Point Of View ◽

Fe Model ◽

One Dimensional ◽

Reaction Forces ◽

Local Technique ◽

Stick Model

Usually during the design of landing gear, simplified Finite Element (FE) models, based on one-dimensional finite elements (stick model), are used to investigate the in-service reaction forces involving each subcomponent. After that, the design of such subcomponent is carried out through detailed Global/Local FE analyses where, once at time, each component, modelled with three-dimensional finite elements, is assembled into a one-dimensional finite elements based FE model, representing the whole landing gear under the investigated loading conditions. Moreover, the landing gears are usually investigated also under a kinematic point of view, through the multibody (MB) methods, which allow achieving the reaction forces involving each subcomponent in a very short time. However, simplified stick (FE) and MB models introduce several approximations, providing results far from the real behaviour of the landing gear. Therefore, the first goal of this paper consists of assessing the effectiveness of such approaches against a 3D full-FE model. Three numerical models of the main landing gear of a regional airliner have been developed, according to MB, “stick,” and 3D full-FE methods, respectively. The former has been developed by means of ADAMS® software, the other two by means of NASTRAN® software. Once this assessment phase has been carried out, also the Global/Local technique has verified with regard to the results achieved by the 3D full-FE model. Finally, the dynamic behaviour of the landing gear has been investigated both numerically and experimentally. In particular, Magnaghi Aeronautica S.p.A. Company performed the experimental test, consisting of a drop test according to EASA CS 25 regulations. Concerning the 3D full-FE investigation, the analysis has been simulated by means of Ls-Dyna® software. A good level of accuracy has been achieved by all the developed numerical methods.

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Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

SIAM Journal on Numerical Analysis ◽

10.1137/08073860x ◽

2010 ◽

Vol 48 (4) ◽

pp. 1555-1578

Author(s):

Eric A. Machorro

Keyword(s):

Finite Elements ◽

Convergence Theory ◽

Singular Coefficient ◽

Hyperbolic Problem ◽

One Dimensional ◽

Discontinuous Finite Elements

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Modeling of a Beam and a Rotor with an Edge Crack Using Dissimilar Elements

Journal of Vibration and Control ◽

10.1177/107754603030696 ◽

2003 ◽

Vol 9 (10) ◽

pp. 1159-1187 ◽

Cited By ~ 1

Author(s):

A. Nandi ◽

S. Neogy

Keyword(s):

Finite Elements ◽

Stress Field ◽

Edge Crack ◽

Three Dimensional ◽

Transition Element ◽

Two Dimensional ◽

Cracked Beam ◽

One Dimensional ◽

Beam Elements ◽

Dimensional Plane

Vibration-based diagnostic methods are used for the detection of the presence of cracks in beams and other structures. To simulate such a beam with an edge crack, it is necessary to model the beam using finite elements. Cracked beam finite elements, being one-dimensional, cannot model the stress field near the crack tip, which is not one-dimensional. The change in neutral axis is also not modeled properly by cracked beam elements. Modeling of such beams using two-dimensional plane elements is a better approximation. The best alternative would be to use three-dimensional solid finite elements. At a sufficient distance away from the crack, the stress field again becomes more or less one-dimensional. Therefore, two-dimensional plane elements or three-dimensional solid elements can be used near the crack and one-dimensional beam elements can be used away from the crack. This considerably reduces the required computational effort. In the present work, such a coupling of dissimilar elements is proposed and the required transition element is formulated. A guideline is proposed for selecting the proper dimensions of the transition element so that accurate results are obtained. Elastic deformation, natural frequency and dynamic response of beams are computed using dissimilar elements. The finite element analysis of cracked rotating shafts is complicated because of the fact that elastic deformations are superposed on the rigid-body motion (rotation about an axis). A combination of three-dimensional solid elements and beam elements in a rotating reference is proposed here to model such rotors.

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