Wave-Front Stress Relaxation in a One-Dimensional Nonlinear Inelastic Material With Temperature and Position Dependent Properties

1971 ◽  
Vol 38 (1) ◽  
pp. 47-50 ◽  
Author(s):  
R. P. Shaw ◽  
F. A. Cozzarelli
Keyword(s):  
Temperature Field ◽  
Wave Front ◽  
Material Properties ◽  
Plastic Material ◽  
Nonuniform Temperature ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Nonuniform Temperature Field ◽  
Nonlinear Viscoelastic ◽  
Inelastic Material

Analytical solutions are obtained for stress, velocity, and strain at the wave front in a suddenly loaded semi-infinite rod of a material with a linear instantaneous response and nonlinear inelastic response. The material properties are assumed to depend on position directly or through a dependence on a prescribed nonuniform temperature field. Detailed solutions are obtained for two examples—a nonlinear viscoelastic material with temperature dependent parameters and a rate-sensitive plastic material which may have temperature dependent parameters and yield point.

Hot forming with a nonuniform temperature field using die partition cooling

2019 ◽  
Vol 116 (6) ◽  
pp. 613
Author(s):  
Cai-yi Liu ◽  
Yan Peng ◽  
Ling Kong ◽  
Lu-han Hao ◽  
Ren Zhai
Keyword(s):  
Temperature Field ◽  
Material Properties ◽  
High Strength ◽  
Strengthening Mechanism ◽  
Hot Forming ◽  
Nonuniform Temperature ◽  
Forming Process ◽  
Gradient Distribution ◽  
Forming Technology ◽  
Nonuniform Temperature Field

High strength steel hot forming technology plays an important role in achieving lightweight vehicles, improving the safety of vehicles. The tensile strength of the blank formed by traditional hot forming process is as high as 1500–2000 MPa, the strength of the formed blank is high, but the elongation is usually low and comprehensive mechanical property is not high. In this article, the process control of material gradient properties hot forming technology is summarized through the analysis of strengthening mechanism of gradient distribution hot forming technology. Based on the traditional hot forming technology, a new hot forming technology based on partition cooling to achieve material property gradient distribution is proposed. By changing the cooling rate of blank in different zones is different, and the gradient distribution of material properties is finally obtained. The DEFORM is used to analyze the hot forming process of the blank under the nonuniform temperature field of the partition cooling. A set of partition cooling hot forming die was designed independently to verify the experimental results. The evolution mechanism of microstructure and its effect on material properties during hot forming under nonuniform temperature field with partition cooling were revealed.

scholarly journals Термополяризационный эффект в линейном полиэтиленоксиде при кристаллизации из расплава

2018 ◽  
Vol 60 (10) ◽  
pp. 1911
Author(s):  
Н.Н. Матвеев ◽  
Н.И. Борисова ◽  
Н.С. Камалова ◽  
Н.Ю. Евсикова
Keyword(s):  
Molecular Weight ◽  
Temperature Field ◽  
Polyethylene Oxide ◽  
Crystallization Temperature ◽  
Structural Changes ◽  
Nonuniform Temperature ◽  
Nonuniform Temperature Field

AbstractThe correlation between crystallite structural changes and polarization properties of a linear crystallized [–CH_2CH_2O–]_ n polyethylene oxide polymer is studied. The average spherulite radius and polarization of polyethylene oxide are inspected as functions of molecular weight of polymer and crystallization temperature from melt in a nonuniform temperature field.

Analysis of thick beams with temperature-dependent material properties under thermomechanical loads

2020 ◽  
Vol 23 (9) ◽  
pp. 1838-1850 ◽  
Author(s):  
Zhong Zhang ◽  
Ding Zhou ◽  
Xiuli Xu ◽  
Xuehong Li
Keyword(s):  
Material Properties ◽  
Mechanical Load ◽  
Stress Fields ◽  
Steel Beam ◽  
State Space Method ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Simply Supported ◽  
The One ◽  
Space Method

This study focuses on the thermoelastic behavior of simply supported thick beams with temperature-dependent material properties under thermomechanical loads. The heat conduction analysis is based on the one-dimensional Fourier’s law, and the displacement and stress analysis is based on the two-dimensional thermoelasticity theory. The solution of temperature field across the thickness is obtained. By dividing the beam into a series of thin slices, the temperature and the material properties in each slice are considered to be uniform. The state space method is used to give the displacements and stresses for every slice. The transfer-matrix method is used to give the displacements and stresses for the beam. Finally, an example is conducted to analyze the temperature, displacement, and stress fields in a carbon steel beam. The example reveals that the temperature not only produces displacements and stresses itself but also affects the displacements and stresses induced by the mechanical load.

Solving One-Dimensional Partial Differential Equations

2021 ◽  
pp. 191-215
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Material Properties ◽  
Final Part ◽  
Temperature Dependent ◽  
Partial Differential ◽  
One Dimensional

This chapter describes the pdepe command, which is used to solve spatially one-dimensional partial differential equations (PDEs). It begins with a description of the standard forms of PDEs and its initial and boundary conditions that the pdepe solver uses. It is shown how various PDEs and boundary conditions can be represented in standard forms. Applications to the mechanics are presented in the final part of the chapter. They illustrate how to solve: heat transfer PDE with temperature dependent material properties, startup velocities of the fluid flow in a pipe, Burger's PDE, and coupled FitzHugh-Nagumo PDE.

Sign in / Sign up

Export Citation Format

Share Document