scholarly journals Modeling of a hysteretic deformation response in polycrystalline ferroelastics

2019 ◽  
Vol 221 ◽  
pp. 01045
Author(s):  
Alexander Skaliukh

You In the absence of an electric field a mathematical model describing the ferroelastic response of complete ferroelectrics ferroelastics on action of mechanical stresses is proposed. The modeling is based on the concept of a “ferroelastic” element, similar to the theory of plasticity where used the Saint-Venant element of “dry friction”. The constitutive relations for elastic and residual strains are constructed. The dependence of elastic compliance on the main values of the tensor of residual strains is established. For residual strains, the constitutive relations are obtained in differentials. The obtained constitutive equations can be used in finite element analysis of irreversible processes of deformation of polycrystalline ferroelastics. A number of numerical experiments were performed, which showed good agreement with the experimental data.

2020 ◽  
Vol 10 (01n02) ◽  
pp. 2060015
Author(s):  
Alexander Skaliukh

A three-dimensional mathematical model is proposed that describes the ferroelectric response of polycrystalline ferroelectrics to an electric field in the absence of mechanical stresses. It is based on the separation of the switching process into two related parts: the rotation of the spontaneous polarization vectors and the destruction of the domain wall fixing mechanisms. For each of the parts, the energy costs are calculated, which are the components of the energy balance in the real polarization process. The constitutive relations for the induced and residual components of the polarization vector of the representative volume are obtained. A number of numerical experiments were performed, which showed good agreement with the experimental data.


1979 ◽  
Vol 101 (1) ◽  
pp. 98-102
Author(s):  
H. Suzuki ◽  
W. F. Chen ◽  
T. Y. Chang

Concrete constitutive relations which can simulate the overall material behavior up to and including its ultimate state under general triaxial loading conditions have been developed. The proposed constitutive relations include: 1) plastic deformation considering the effect of hydrostatic pressure, 2) a dual criterion predicting the fracture of concrete in terms of either stresses or strains, and 3) post-fracture behavior of concrete. Corresponding to the constitutive model, a finite element analysis procedure has also been utilized. Based on the proposed model, implosion pressures and load-deformation responses of several concrete vessels were obtained. The numerical results correlate quite well with the experimental data when the dual criterion was used.


1972 ◽  
Vol 94 (1) ◽  
pp. 251-253 ◽  
Author(s):  
C. Hardy ◽  
C.-N. Baronet ◽  
G.-V. Tordion

The indentation of hard steel spheres into the plane surface of quasi elastic-perfectly-plastic metallic materials has been investigated experimentally. It is shown in the present note that uniform results are obtained when the experimental data corresponding to some materials are reduced to a common base. These results are in fairly good agreement with the predictions of a previous finite element analysis by the same authors.


2022 ◽  
Author(s):  
Kyle Mahoney ◽  
Thomas Siegmund

Topologically interlocking material (TIM) systems are composed of convex polyhedral units placed such that building blocks restrict each other's movement. Here, TIM tubes are considered as rolled monolayers of such assemblies. The deformation response of these assembled tubes under diametrical loading is considered. This investigation employs experiments on additivelymanufactured physical realizations and finite element analysis with contact interactions. The internal load transfer in topologically interlocking tubes is rationalized through inspection of the distribution of minimum principalstress. A thrust-line (TL) model for the deformation of topologically interlocking tubes is established. The model approximates the deformation response of the assembled tubes as the response of a collection of Misestrusses aligned with paths of maximum load transfer in the system. The predictions obtained with the TL-model are in good agreement with results of finite element models. Accounting for sliding between building blocks in theTL-model yields a predicted response more similar to experimental results with additively manufactured tubes.


2002 ◽  
Vol 26 (3) ◽  
pp. 337-346 ◽  
Author(s):  
Lihua Zhou ◽  
Tian Huang ◽  
Hanfried Kerle

A feasible way to estimate the stiffness of a 3-HSS parallel kinematic machine (PKM) by finite element analysis (FEA) is presented. Taking into consideration the base, columns, carriages struts and the mobile platform, a FEA model for the whole machine is established by solving such problems as match between different element types and simulation of moving components. Later on, this approach is applied to a particular 3-HSS PKM, Linapod, and used to steer the conceptual design of the machine. Furthermore, experiments are made on radial and axial stiffness. By comparison, the FE analytical results show good agreement with experimental data.


2011 ◽  
Vol 243-249 ◽  
pp. 1655-1658
Author(s):  
Qing Bo Wang ◽  
Yan Min Jia ◽  
Dong Po He

The commercially available finite element program ANSYS was used to model the refrozen process of the bored pile. The effects of the refrozen process by casting temperature of concrete, heat of concrete hydration and air convention were analyzed. To estimate the time when the bearing capacity of the bored pile is formed, the finish time of refrozen process was determined by modeling the whole refrozen process of the bored pile. The calculated results are in good agreement with experimental data. The analysis shows that the refrozen process is related with the casting temperature of concrete. The higher the casting temperature is, the more time the refrozen process takes.


2011 ◽  
Vol 94-96 ◽  
pp. 658-663
Author(s):  
Dong Fang Zhang ◽  
Jun Hai Zhao ◽  
Yu Fen Zhang ◽  
Qian Zhu

Abstract:According to our team experimental study on the joints for the Multibarrel tube-confined concrete column and the reinforced concrete ring beam, The software ANSYS of finite element is used to simulate the behavior of connections in this paper. The simulated hysteretic curves and skeleton curves are compared with the experimental data and good agreement can be observed. Moreover, parametric studied have been carried out to investigate the influences of anchorage length of vertical steel bars for the nodes area, the strength of the concrete for the nodes area, the concrete strength of the frame beam, and the longitudinal reinforcement ratio of the frame beam on the skeleton curves.


2011 ◽  
Vol 109 ◽  
pp. 187-190
Author(s):  
Jian Lin Liu ◽  
Ke Sheng Wang ◽  
Xiao Wei Chen

An new technological scheme for a two-step cold press forging of step holes in a thick metal sheet was proposed . Finite element analysis on the two-step process is carried out by using DEFORM-3D. Velocity shade contours are obtained. The study shows that the technique can form step holes in thick sheet metal and increase their strength, According to the numerical simulation’s process parameter, an experimental die is designed, the FEA results are in good agreement with the experimental data.


Author(s):  
Goldy Kumar ◽  
Vadim Shapiro

Bonded multi-material assemblies arise frequently in design, manufacturing, architecture, and materials design. It is a common wisdom that finite element analysis of such assemblies usually requires all components to be represented by compatible finite element meshes; application of meshfree methods in such situations is often considered problematic due to the need to impose additional interface conditions. Neither approach scales to deal with realistically complex models arising in many applications. We propose a simple extension of meshfree analysis on a non-conforming mesh for linear structural analysis of such multimaterial assemblies. The method is simple, can be implemented within most FEA packages and does not require either compatible meshing or complex interface boundary conditions. Our numerical experiments demonstrate that computed results are in good agreement with known analytical and computational results for well studied multi-material bonded assemblies (lap and butt joints). We also demonstrate application of the proposed method to realistically complex assembly of a mounted sculpture that cannot be easily analysed by other methods.


2020 ◽  
pp. 149-152

The energy states for the J , b , ɤ bands and electromagnetic transitions B (E2) values for even – even molybdenum 90 – 94 Mo nuclei are calculated in the present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using IBS1. for program for even 90 – 94 Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared with the experimental data . The ratio of the excitation energies of the 41+ to 21+ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the 90 – 94 Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between the calculated energy states and electric quadruple probabilities B(E2) transition of the 90–94Mo isotopes with the experimental data .


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