引用本文: | 杨光松,黄炎.强度理论的主应力形式及几何解释.[J].国防科技大学学报,1987,(2):64-68.[点击复制] |
Yang Guangsong,Huang Yan.The Strength Theory in a Principl Stress Form and Its Geometric Explanation[J].Journal of National University of Defense Technology,1987,(2):64-68[点击复制] |
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强度理论的主应力形式及几何解释 |
杨光松, 黄炎 |
(应用力学系)
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摘要: |
本文从一般强度理论出发导出各向异性材料应力形式张量多项式强度理论,根据强度准则的外凸性得到应力二次形式强度准则的强度参数限制条件。该限制条件既可验证强度准则的可用性又有助于实验确定基本强度参数。主应力形式强度准则在应力空间给出一个椭圆型二次曲面如:椭球面、椭圆抛物面、回转抛物面、椭圆柱面或圆柱面等。 |
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投稿日期:1986-04-02 |
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The Strength Theory in a Principl Stress Form and Its Geometric Explanation |
Yang Guangsong, Huang Yan |
(Department of Applied Force)
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Abstract: |
A set of inequality constraint conditions of the strength parameters is derived from the convexity of the strength criterion,which is expressed in a quadric form in terms of stress components. The constraint conditions can be used to identify the availability of the strength,criterion and they are helpful to measure the basic strength parameters. A geometric explanation to the strength criterion is obtained when the strength criterion is expressed in a principl stress form,which is an ellipsoid,such as elliptic,
paraboloid,revolutionary paraboloid,e1liptic cylinder or cylinder etc. |
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