Analysis of wave propagation in elastic-plastic rods of a variable cross section using direct mathematical modelling

1995 ◽  
Vol 65 (8) ◽  
pp. 537-547 ◽  
Author(s):  
B. Shorr
Keyword(s):  
Wave Propagation ◽  
Mathematical Modelling ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Elastic Plastic

scholarly journals Stretching of a cylindrical rod of variable cross-section in the theory of small elastic-plastic

2020 ◽  
pp. 78-81
Author(s):  
Николай Ильич Петров
Keyword(s):  
Cross Section ◽  
Axisymmetric Problem ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Initial State ◽  
Plastic Deformations ◽  
Linearized Equations ◽  
Elastic Plastic

В работе рассматривается растяжение бесконечно длинного цилиндрического стержня переменного сечения. Используются результаты решения линеаризированных уравнений теории малых упругопластических деформаций [1-7] в случае осесимметричной задачи. Предполагается, что в начальном состоянии имеет место простое растяжение. We considers the stretching of an infinitely long cylindrical rod of variable cross-section. The results of solving the linearized equations of the theory of small elastic-plastic deformations [1-7] in the case of an axisymmetric problem are used. It is assumed that a simple stretch occurs in the initial state.

Stress Wave Propagation Analysis in One-Dimensional Micropolar Rods with Variable Cross-Section Using Micropolar Wave Finite Element Method

2018 ◽  
Vol 10 (04) ◽  
pp. 1850039 ◽  
Author(s):  
Mohsen Mirzajani ◽  
Naser Khaji ◽  
Muneo Hori
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Propagation ◽  
Cross Section ◽  
Variable Cross Section ◽  
Stress Wave Propagation ◽  
Rotational Degree ◽  
Variable Cross ◽  
One Dimensional ◽  
Element Method

The wave finite element method (WFEM) is developed to simulate the wave propagation in one-dimensional problem of nonhomogeneous linear micropolar rod of variable cross-section. For this purpose, two kinds of waves with fast and slow velocities are detected. For micropolar medium, an additional rotational degree of freedom (DOF) is considered besides the classical elasticity’s DOF. The proposed method is implemented to solve the wave propagation, reflection and transmission of two distinct waves and impact problems in micropolar rods with different layers. Along with new solutions, results of the micropolar wave finite element method (MWFEM) are compared with some numerical and/or analytical solutions available in the literature, which indicate excellent agreements between the results.

Numerical Simulation of Wave Propagation in Variable Cross-Section Bars

2011 ◽  
Vol 378-379 ◽  
pp. 72-76 ◽  
Author(s):  
Hong Bin Jin
Keyword(s):  
Numerical Simulation ◽  
Wave Propagation ◽  
Cross Section ◽  
Analytical Solutions ◽  
Simulation Method ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Numerical Simulation Method ◽  
Simulation Results

A model for wave propagation in variable cross-section bars is developed. Then a numerical simulation method based on CSPM is introduced. Furthermore the wave propagations in stepped bars and conical bars are simulated. The simulation results agree well with the analytical solutions, which demonstrate that the model can describe the wave propagation in variable cross-section bars precisely.

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