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轴对称冲入半无限体的参量积分解法

A Parametric Integration to Solve Axisymmetric Indentation of Semi-Infinite Medium by a Flat-Round Punch
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摘要 对圆形平冲头轴对称冲入半无限体问题提出以参数方程建立速度场,并以参量积分求解变形功率的新方法。得到了轴对称冲入应力状态因子的上界解析解,证明了该解略低于平面变形冲入三角形速度场的最小上界值。 A parametric equation to establish velocity field for the indentation of semi-infinite medium by a flat-round punch was proposed, and corresponding parametric integration to deformation power was performed as a new method in this paper. A minimal analytical upper-bound solution of stress state factor for the indentation was obtained. The result is shown to be lower than that of triangle velocity field for the plane-strain indentation.
出处 《应用科学学报》 CAS CSCD 2003年第2期161-164,共4页 Journal of Applied Sciences
基金 国家重点基础研究发展规划项目(G2000067208-4)
关键词 轴对称冲入 组合解析 参数方程 解析解 半无限体 参量积分解法 速度场 塑性成形力学 axisymmetric indentation combined analysis parametric equation analytical solution
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参考文献6

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二级参考文献1

  • 1Zhao De-wen,Zhang Qiang. Solution for plane strain forward and backward extrusions with a fractional reductionR=0.5 by the integartion depending on a parameter[J] 1988,Applied Mathematics and Mechanics(4):417~422

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