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。

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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.
霍洛蒙应变硬化方程
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