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霍洛蒙应变硬化方程

1945-01-01
  • John H. Hollomon, Jr.
研究人员在材料科学实验室中分析霍洛蒙方程,用于塑性变形建模。

(图片仅供参考)

霍洛蒙方程是一个经验幂律关系式,它描述了真实应力与真实应力之比。 拉紧 塑性变形(屈服)开始与颈缩(极限抗拉强度)开始之间的曲线。方程为 [latex]sigma_t = K epsilon_t^n[/latex],其中 [latex]sigma_t[/latex] 为真实值 压力其中,ε_t 是真实塑性应变,K 是强度系数,n 是应变硬化指数。

The Hollomon equation provides a simple yet effective mathematical model for the phenomenon of strain hardening (or work hardening), where a ductile material becomes stronger and harder as it is plastically deformed. The strain-hardening exponent, ‘n’, is a key material property derived from this equation. It typically ranges from 0 (for a perfectly plastic solid) to 1. A higher ‘n’ value indicates a greater capacity for strain hardening. For many metals, ‘n’ is numerically equal to the true strain at the point of ultimate tensile strength. The strength coefficient, ‘K’, represents the true stress at a true strain of 1.0. This equation is valid only in the plastic region, after yielding and before necking begins. It is determined by plotting true stress versus true strain on a log-log scale; the data in the plastic region should form a straight line. The slope of this line is ‘n’, and the intercept at [latex]\epsilon_t = 1[/latex] is ‘K’. While it is an empirical model and doesn’t capture all complexities of plastic deformation (like the Bauschinger effect), its simplicity and utility have made it a standard tool in materials science and mechanical engineering for analyzing and predicting the response of metals to plastic deformation.

UNESCO Nomenclature: 3313
– Materials science

类型

Mathematical Model

中断

重大的

用法

广泛使用

前体

  • 真实应力和真实应变的概念
  • 金属加工硬化的实验观察
  • 用于数据分析的对数绘图技术的发展
  • 金属成型行业对预测模型的需求

应用程序

  • 有限元 analysis (FEA) for modeling plastic deformation
  • predicting material behavior in metal forming operations like deep drawing and stamping
  • 表征金属的加工硬化能力
  • 用于碰撞模拟的材料模型开发
  • 评估金属板的成形性

专利:

NA

潜在创新理念

  • 开发更复杂的本构模型(例如,ludwik、swift、vocce)以提高准确性
  • 先进的成型模拟,防止金属板撕裂和起皱
  • 具有不同应变硬化特性的定制焊接毛坯
  • design of materials with optimal ‘n’ values for specific forming applications
  • 塑性变形部件的预测维护模型
  • 微观结构工程控制应变硬化指数
  • 结合应变率和温度效应的动态材料模型
  • 成形极限图(FLD)预测
  • 从测试数据中自动提取材料参数的软件
  • 具有空间变化硬化行为的梯度材料
Related to: Hollomon equation, strain hardening, work hardening, true stress, true strain, plastic deformation, strength coefficient, strain-hardening exponent, metal forming, constitutive model.

历史背景

霍洛蒙应变硬化方程

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(如果日期未知或不相关,例如“流体力学”,则提供其显著出现的近似估计)

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