Volume 45 Issue 12
Dec.  2024
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FU Baolian. On Discussion of Discussion on the Modified Reciprocal Theorem of Works[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1589-1592.
Citation: FU Baolian. On Discussion of Discussion on the Modified Reciprocal Theorem of Works[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1589-1592.

On Discussion of Discussion on the Modified Reciprocal Theorem of Works

  • Received Date: 2023-06-19
  • Rev Recd Date: 2023-07-03
  • Available Online: 2024-12-27
  • After reading Discussion on the Modified Reciprocal Theorem of Works (Discussion for short), there are 2 main judgments about Discussion: ① the understanding of the proposition for the reciprocal theorem of Betti’s works is incomplete and inaccurate; ② the assertion that the corrected reciprocal theorem of works is actually another manifestation of Betti’s reciprocal theorem, is wrong.
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    付宝连. 弯曲薄板功的互等新理论[M]. 北京: 科学出版社, 2003.(FU Baolian. A New Theory of Reciprocal Work for Bending Thin Plates[M]. Beijing: Science Press, 2003.(in Chinese))
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    [7]钟万勰. 弹性力学求解新体系[M]. 大连: 大连理工大学出版社, 1995.(ZHONG Wanxie. New System for Solving Elastic Mechanics[M]. Dalian: Dalian University of Technology Press, 1995.(in Chinese))
    [8]付宝连. 有限位移理论线弹性动力学二类和三类混合变量的最小势作用量原理和驻值余作用量原理及其应用[J]. 应用数学和力学, 2017,38(12): 1359-1376.(FU Baolian. Principles of minimum potential action and stationary complementary action with dual and triple mixed variables for linear elastodynamics of finite displacement theory and the application[J]. Applied Mathematics and Mechanics,2017,38(12): 1359-1376.(in Chinese))
    [9]付宝连. 有限位移理论线弹性力学二类和三类混合变量的变分原理及其应用[J]. 应用数学和力学, 2017,38(11): 1251-1268.(FU Baolian. Variational principles for dual and triple mixed variables of linear elasticity with finite displacements and the application[J]. Applied Mathematics and Mechanics,2017,38(11): 1251-1268.(in Chinese))
    [10]付宝连. 有限位移理论的功的互等定理及其应用[J]. 应用数学和力学, 2015,36(10): 1019-1034.(FU Baolian. The reciprocal theorem for the finite displacement theory and its application[J]. Applied Mathematics and Mechanics,2015,36(10): 1019-1034.(in Chinese))
    [11]付宝连. 三维线弹性力学修正的功的互等定理及其应用[J]. 应用数学和力学, 2015,36(5): 523-538.(FU Baolian. Corrected reciprocal theorem for 3D linear elasticity and its application[J]. Applied Mathematics and Mechanics,2015,36(5): 523-538.(in Chinese))
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