参考应变率hjc模型

参考应变率hjc模型
English Answer:
What is the HJC strain rate hardening constitutive model?
The HJC strain rate hardening constitutive model is a phenomenological model that describes the hardening behavior of metals under dynamic loading conditions. It is an extension of the Johnson-Cook (JC) model, which is widely used to describe the plastic deformation of metals at high strain rates.
The HJC model introduces the following modifications to the JC model:
1. A new strain rate hardening term that is a function of the strain rate and the temperature.
2. A new thermal softening term that is a function of
the temperature.
3. A new damage term that is a function of the strain and the temperature.
The HJC model is formulated as follows:
σ = (A + Bε^n)(1 + Clnε^)[1 (T^)^m](1 D)。

where:
σ is the stress.
ε is the strain.
ε is the strain rate.
T is the temperature.
A, B, C, n, m, and D are material constants.
The HJC model has been shown to provide good agreement
with experimental data for a wide range of metals under dynamic loading conditions. It is a relatively simple model that can be easily implemented in finite element simulations.
Chinese Answer:
HJC 应变率硬化本构模型是什么？
HJC 应变率硬化本构模型是一种描述金属在动态加载条件下硬化行为的唯象模型。

它是 Johnson-Cook (JC) 模型的扩展，该模型广泛用于描述金属在高应变率下的塑性变形。

HJC 模型对 JC 模型进行了以下修改：
1. 一个新的应变率硬化项，它是应变率和温度的函数。

2. 一个新的热软化项，它是温度的函数。

3. 一个新的损伤项，它是应变和温度的函数。

HJC 模型公式如下：
σ = (A + Bε^n)(1 + Clnε^)[1 (T^)^m](1 D)。

其中：
σ 为应力。

ε 为应变。

ε 为应变率。

T 为温度。

A、B、C、n、m 和 D 为材料常数。

HJC 模型已被证明可以很好地吻合各种金属在动态加载条件下的实验数据。

它是一个相对简单的模型，可以很容易地应用于有限元模拟中。