Numerical Simulation of Elastic Deformation Based on Peridynamic Differential Operator

2021 ◽  
Author(s):  
Yumeng Hu ◽  
Guoqing Feng ◽  
Fan Liu ◽  
Dongxu Zhang
Keyword(s):  
Numerical Simulation ◽  
Differential Operator ◽  
Elastic Deformation

The study of the elastic deformation of a flexible wheel by a cam wave generator

2020 ◽  
Vol 65 (1) ◽  
pp. 51-58
Author(s):  
Sava Ianici
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Elastic Deformation ◽  
Theoretical Study ◽  
Elastic Field ◽  
The Finite Element Method ◽  
Elastic Deformations ◽  
Wave Generator ◽  
Two Stages

The paper presents the results of research on the study of the elastic deformation of a flexible wheel from a double harmonic transmission, under the action of a cam wave generator. Knowing exactly how the flexible wheel is deformed is important in correctly establishing the geometric parameters of the wheels teeth, allowing a better understanding and appreciation of the specific conditions of harmonic gearings in the two stages of the transmission. The veracity of the results of this theoretical study on the calculation of elastic deformations and displacements of points located on the average fiber of the flexible wheel was subsequently verified and confirmed by numerical simulation of the flexible wheel, in the elastic field, using the finite element method from SolidWorks Simulation.

Study on a straightening process by reciprocating bending for metal profiles

2021 ◽  
Vol 118 (6) ◽  
pp. 605
Author(s):  
Qingdang Meng ◽  
Gaocao Yu ◽  
Xueying Huang ◽  
Honglei Sun ◽  
Jun Zhao
Keyword(s):  
Numerical Simulation ◽  
Elastic Deformation ◽  
Quality Parameter ◽  
Area Ratio ◽  
Physical Experiment ◽  
Rectangular Section ◽  
Residual Deflection ◽  
Section Profile ◽  
Different Shapes

The straightness is a critical quality parameter of metal profiles, and straightening is a necessary process in metal profile production. Due to the limitations of the existing straightening methods, the straightening process by reciprocating bending for metal profiles is proposed. The curvature is unified by multiple reciprocating bending, and then the straightening is completed by reverse bending. The process has the advantages of high straightening efficiency, flexibility, and wide straightening range. In order to verify the feasibility of the process, numerical simulation and physical experiment are carried out with the rectangular section profile with “C” shape and “S” shape. The results show the profiles of different shapes are unified into arcs of the same size after multiple reciprocating bending. In addition, the smaller the elastic area ratio (ratio of elastic deformation to overall deformation) is, the better the effect of unification curvature is. The residual deflection is basically the same after straightening, and straightness is within 0.1%.

Influence of Friction on Springback of Quadrangle Parts Bending

2011 ◽  
Vol 217-218 ◽  
pp. 619-624
Author(s):  
Chun Jian Su ◽  
Guang Heng Zhang ◽  
Su Min Guo ◽  
Li Gao ◽  
Rui Ma
Keyword(s):  
Numerical Simulation ◽  
Friction Coefficient ◽  
Sheet Metal ◽  
Analytical Model ◽  
Elastic Deformation ◽  
Approximate Calculation ◽  
Plane Deformation ◽  
Theoretical Formula ◽  
Simulation And Experiment ◽  
Springback Angle

Springback is the prominent problem in bending forming of sheet metal, which is difficult to control accurately, especially for the complex shaped bending parts. The change of friction conditions will cause significant changes of bending springback amount. The theoretical analytical model of quadrangle parts bending, which takes into account of the harden ability, anisotropy and elastic deformation of material, is proposed in this paper based on the plane deformation assumption and the bending theory of sheet metal, the quadrangle parts bending of wide sheet is analyzed theoretically, the approximate calculation relational expression is derived between friction coefficient and springback angle, and the influence of friction on springback is discussed. In the same conditions, the springback result deduced from theoretical formula is basically consistent with numerical simulation and experiment result.

Anatomy of the Calandria Tube Rolled Joint

2007 ◽  
Author(s):  
D. Metzger ◽  
E. Araujo ◽  
D. Brown
Keyword(s):  
Numerical Simulation ◽  
Plastic Deformation ◽  
Elastic Deformation ◽  
Detailed Account ◽  
Tool Setting ◽  
Leak Tightness

In CANDU™ (Canadian Deuterium Uranium) Reactors, the joint between the Calandria tubes to the Calandria tubesheets is achieved by roller expanded joints. This paper models a detailed account of the Calandria tube joint fabrication and deformation. Numerical simulation illustrates the mechanisms of bending and compression that cause the plastic deformation in the joint. Results show that the insert deformation must pinch the Calandria tube both axially and radially at groove edges to create leak tightness. Predicted rolling forces have been used to quantify the elastic deformation in the rollers and mandrel, and the final tool setting is seen to account for this springback as well as springback in the joint components.

scholarly journals Mesomechanical Modeling and Numerical Simulation of the Diffraction Elastic Constants for Ti6Al4V Polycrystalline Alloy

Metals ◽  
2018 ◽  
Vol 8 (10) ◽  
pp. 822 ◽  
Author(s):  
Qiang Chen ◽  
Li Liu ◽  
Changjun Zhu ◽  
Kanghua Chen
Keyword(s):  
Numerical Simulation ◽  
Elastic Deformation ◽  
Elastic Constants ◽  
Elastic Stiffness ◽  
Crystal Plane ◽  
Field Equations ◽  
Polycrystalline Alloy ◽  
Inclusion Theory ◽  
Elastic Mechanics

A mesoscopic mechanical model based on the Mori-Tanaka method and Eshelby’s inclusion theory was presented to investigate the uniform elastic deformation behavior of Ti6Al4V with β-Ti and α-Ti phases. In particular, elastic mechanics field equations of inclusion and matrix phases were established separately, and several crystal plane diffraction elastic constants were predicted under uniaxial loading in this model. The results demonstrated that diffracted crystal plane elastic constants diversified with the elastic stiffness of the composition phase. In consequence, elastic deformation of one particular phase is related to the constraint of the whole deformation of all the phases constituting the materials. In this work, diffracted crystal plane elastic constants corresponding to different phases exert a substantial role in the determination of stresses by diffraction methods. Several numerical simulation results were compared and discussed.

Numerical Simulation of Elastic Deformation Based on Peridynamic Differential Operator

2020 ◽  
Author(s):  
Yumeng Hu ◽  
Fan Liu ◽  
Guoqing Feng ◽  
Dongxu Zhang
Keyword(s):  
Differential Operator ◽  
Elastic Deformation ◽  
Analytical Formula ◽  
Integral Form ◽  
Numerical Differentiation ◽  
Deformation Analysis ◽  
Partial Differential ◽  
Calculation Process ◽  
Structure Strength ◽  
Novel Concept

Abstract The methodology of Peridynamics has been proposed for years and widely used in various engineering fields. The evolution of this theory is always in process, and two major branches appears, namely bond-based and state-based peridynamic method. Recently, a novel concept, peridynamic differential operator, was proposed and adopted in simulation of Newtonian fluid and analysis of structure strength. Just like the intrinsic idea in peridynamic theory, this new operator could convert the partial differential into its integral form so that it would enable the numerical differentiation through integration and avoid difficulties such as discontinuities or singularities encountered in the simulation. Also, unlike the traditional method that the higher order partial differential items are derived from the lower ones, peridynamic differential operator could easily provide differential items with any desired order thus it makes calculation process more efficient and convenient. In this study, the accuracy of peridynamic differential operator is tested by comparing with a given analytical formula. Then, this operator is embedded into the framework of Galerkin method and adopted for elastic deformation analysis in 2D case. The results are compared with those obtained from finite element method and its efficiency and feasibility are verified.

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