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A modified Steinberg-Cochran-Guinan model applicable to solid-liquid mixed zone along the principle Hugoniot

机译:一种改进的Steinberg-Cochran-guinan模型,适用于沿着原则Hugoniot的固液混合区

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摘要

A constitutive model is vital for describing the deviatoric stresses of metallic materials under intense impact loading. Although the classical Steinberg-Cochran-Guinan (SCG) model has been widely regarded as an acceptable scheme, it does not clearly describe the coupling effect of the strain hardening and temperature softening at high temperatures and pressures, especially for the solid-liquid mixed phase. In this work, a modified SCG (MSCG) model is proposed based on an idealized assumption that the shear modulus and yield strength are equal to zero at the complete melting temperature and pressure. The temperature-dependent shear modulus model is then introduced in the MSCG model. The proposed model avoids the over-temperature softening effect by discarding the linear temperature term. More importantly, the pressure-temperature coupling factor (k) is employed in the pressure term, and the k adjusts the coupling effect of the strain hardening and temperature softening. In addition, the asymmetric relation in the MSCG model indicates that the temperature softening effect is more dominant than the strain hardening effect during the whole shock loading process. Moreover, the MSCG model is compared with the SCG model, Li and Chen's SCG model, and available data; the comparison verified the ability of the model to reproduce the shear moduli and yield strengths of Al, Be, Cu, and W in the solid-liquid mixed phase.
机译:本构模型对于描述在激烈的冲击载荷下金属材料的脱极应力至关重要。虽然经典的斯坦伯格 - Cochran-guinan(SCG)模型已被广泛被广泛地被视为可接受的方案,但它没有明确描述在高温和压力下应变硬化和温度软化的偶联效果,特别是对于固液混合相。在这项工作中,基于在完全熔化温度和压力下的剪切模量和屈服强度等于零的理想化假设,提出了一种改进的SCG(MSCG)模型。然后在MSCG模型中引入温度依赖性剪切模量模型。所提出的模型通过丢弃线性温度术语来避免过度温度的软化效果。更重要的是,在压力术语中使用压力 - 温度耦合因子(K),并且K调节应变硬化和温度软化的耦合效果。另外,MSCG模型中的不对称关系表明,在整个冲击加载过程中,温度软化效果比应变硬化效果更大。此外,将MSCG模型与SCG模型,LI和Chen的SCG模型进行比较,以及可用数据;比较验证了模型在固体混合相中再现抗剪切模量和屈服强度的剪切模量和屈服强度。

著录项

  • 来源
    《Mechanics of materials》 |2021年第4期|103775.1-103775.10|共10页
  • 作者单位

    Sichuan Univ Coll Architecture & Environm Minist Educ Key Lab Deep Underground Sci & Engn Chengdu 610065 Peoples R China;

    Sichuan Univ Coll Architecture & Environm Minist Educ Key Lab Deep Underground Sci & Engn Chengdu 610065 Peoples R China;

    Southwest Univ Sch Mat & Energy Chongqing 400715 Peoples R China;

    Sichuan Univ Coll Architecture & Environm Minist Educ Key Lab Deep Underground Sci & Engn Chengdu 610065 Peoples R China;

    Inst Appl Phys & Computat Math Lab Computat Phys Beijing 100088 Peoples R China|Peking Univ Ctr Appl Phys & Technol Beijing 100071 Peoples R China;

    Sichuan Univ Coll Architecture & Environm Minist Educ Key Lab Deep Underground Sci & Engn Chengdu 610065 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Constitutive model; Pressure-temperature coupling factor k; Solid-liquid mixed phase; Initial and complete melting temperatures; pressures br;

    机译:本构模型;压力 - 温度耦合因子K;固液混合相;初始和完全熔化温度;压力Br;
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