Converging spherical and cylindrical elastic-plastic waves of small amplitude

doi:10.1088/1674-1056/23/9/096202

›› 2014, Vol. 23 ›› Issue (9): 96202-096202.doi: 10.1088/1674-1056/23/9/096202

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Converging spherical and cylindrical elastic-plastic waves of small amplitude

胡秋实, 赵锋

Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China

收稿日期:2014-01-09 修回日期:2014-02-20 出版日期:2014-09-15 发布日期:2014-09-15

Converging spherical and cylindrical elastic-plastic waves of small amplitude

Hu Qiu-Shi (胡秋实), Zhao Feng (赵锋)

Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China

Received:2014-01-09 Revised:2014-02-20 Online:2014-09-15 Published:2014-09-15
Contact: Hu Qiu-Shi E-mail:hhqxsr@mail.ustc.edu.cn

摘要/Abstract

摘要： Converging spherical and cylindrical elastic-plastic waves in an isotropic work-hardening medium is investigated on the basis of a finite difference method. The small amplitude pressure is applied instantaneously and maintained on the outer surface of a spherical or a cylindrical medium. It is found that for undercritical loading, the induced wave structure is an elastic front followed in turn by an expanding plastic region and an expanding elastic region. For supercritical loading, the elastic front is followed in turn by an expanding plastic region, a narrowing elastic region and an expanding plastic region. After yielding is initiated, the strength of the elastic front is constant and equal to the critical loading pressure. The motion of the continuous elastic-plastic interface is discussed in detail. Spatial distributions of pressure near the axis show the strength of the converging wave is nearly doubled in the reflecting stage.

关键词: converging waves, spherical waves, cylindrical waves, elastic-plastic waves

Abstract: Converging spherical and cylindrical elastic-plastic waves in an isotropic work-hardening medium is investigated on the basis of a finite difference method. The small amplitude pressure is applied instantaneously and maintained on the outer surface of a spherical or a cylindrical medium. It is found that for undercritical loading, the induced wave structure is an elastic front followed in turn by an expanding plastic region and an expanding elastic region. For supercritical loading, the elastic front is followed in turn by an expanding plastic region, a narrowing elastic region and an expanding plastic region. After yielding is initiated, the strength of the elastic front is constant and equal to the critical loading pressure. The motion of the continuous elastic-plastic interface is discussed in detail. Spatial distributions of pressure near the axis show the strength of the converging wave is nearly doubled in the reflecting stage.

Key words: converging waves, spherical waves, cylindrical waves, elastic-plastic waves

中图分类号: (Deformation and plasticity)

62.20.F-

胡秋实, 赵锋. Converging spherical and cylindrical elastic-plastic waves of small amplitude[J]. , 2014, 23(9): 96202-096202.

Hu Qiu-Shi (胡秋实), Zhao Feng (赵锋). Converging spherical and cylindrical elastic-plastic waves of small amplitude[J]. Chin. Phys. B, 2014, 23(9): 96202-096202.

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Converging spherical and cylindrical elastic-plastic waves of small amplitude

Converging spherical and cylindrical elastic-plastic waves of small amplitude

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