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复合材料破坏准则的唯象理论

周承倜

周承倜. 复合材料破坏准则的唯象理论[J]. 应用数学和力学, 1984, 5(2): 159-166.
引用本文: 周承倜. 复合材料破坏准则的唯象理论[J]. 应用数学和力学, 1984, 5(2): 159-166.
Zhou Cheng-ti. Phenomenological Theory of Failure Criterion for Composite Materials[J]. Applied Mathematics and Mechanics, 1984, 5(2): 159-166.
Citation: Zhou Cheng-ti. Phenomenological Theory of Failure Criterion for Composite Materials[J]. Applied Mathematics and Mechanics, 1984, 5(2): 159-166.

复合材料破坏准则的唯象理论

Phenomenological Theory of Failure Criterion for Composite Materials

  • 摘要: 本文研究了复合材料的二阶型和三阶型张量多项式破坏准则的几种主要理论。提出了用非线性优化方法来确定准则中的影响系数,并将优化结果与几种典型的复合材料实验数据及各种理论的计算结果进行了讨论和比较,结果表明系数优化的方法是有效的。
  • [1] Hill, R.,The Mathematical Theorg of Plasticity, Oxford,(1950).
    [2] Hoffman, O.,The brittle strength of orthotropic materials, JCM, 1 (1967) 200-206.
    [3] Wu,E, M.,Phenomenological anisotropic failure criterion,Mech, of Comp, Mat.,2 (1974).
    [4] Wu, E, M.and J.K.Scheublein, Laminate strength——a direct characterization procedure, Composite Materials: Testing and Design (3rd.Conf.),ASTM STP 546,(1974),188-206.
    [5] Zhou Cheng-ti and R.M.Jones, Effective application and optimization of the cubic polynomial failure criterion, Tech, Paper of ESM,VPI&sv,USA, (1982).
    [6] Jones, R.M.,Mechanics of Composite Materials, McGraw-Hill, (1875).
    [7] Tennyson, R. C,D. MacDonald and A. P. Nanyaro,Evaluation of the tensor polynomial failure criterion for composite materials, JCM,12, Jan, (1978),63.
    [8] Tennyson, R, C,A, P.Nanyaro and G, E, Wharram, Application of the cubic polynomial strength criterion to the failure analysis of composite materials, JCM.14,Supplement,(1980).
    [9] Tsai, S W, and E, M, Wu, A general theory of strength for anisotropic materials,JCM,5 (1971),58.
    [10] Azzi, V.D.and S W.Tsai, Anisotropic strength of composites, Experimental Mech.,5. (1965),183-188.
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出版历程
  • 收稿日期:  1983-03-16
  • 刊出日期:  1984-04-15

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