The damage which represents the alternation of internal slate of material was introduced to concrete strength theory according to the theory of mechanics of continuous medium and the failure criterion of deteriorated ...The damage which represents the alternation of internal slate of material was introduced to concrete strength theory according to the theory of mechanics of continuous medium and the failure criterion of deteriorated concrete was diseussions. In the tests, ultrasonic velocity is used to establish the damage variable and to establish the damage-eoupled failure criterion of concrete under freeze-thaw. The results show that the failure surface is gradually shrinking with the increase of freeze-thaw times. Furthermore, by the comparison between the theoretical data and the testing data from the literature, the rationality of strength theory proposed in the paper acquire confirmation. The damage-coupled failure criterion presented here can indicate the influence of damage evolution on the failure surface of concrete.展开更多
Ⅰ. INTRODUCTIONIn the transcendence theory Gelfond’s criterion of transcendence over Q is a. very powerful tool for establishing algebraic independence of several numbers. W. D. Brownawell generalized Gelfond’s cri...Ⅰ. INTRODUCTIONIn the transcendence theory Gelfond’s criterion of transcendence over Q is a. very powerful tool for establishing algebraic independence of several numbers. W. D. Brownawell generalized Gelfond’s criterion of transcendence to a field of finite transcendence type. In this note Brownawell’s criterion is extended to several variables, i. e. we establish criteria of algebraic independence of several numbers over展开更多
基金Supported by the National Natural Science Foun-dation of China (50578068)
文摘The damage which represents the alternation of internal slate of material was introduced to concrete strength theory according to the theory of mechanics of continuous medium and the failure criterion of deteriorated concrete was diseussions. In the tests, ultrasonic velocity is used to establish the damage variable and to establish the damage-eoupled failure criterion of concrete under freeze-thaw. The results show that the failure surface is gradually shrinking with the increase of freeze-thaw times. Furthermore, by the comparison between the theoretical data and the testing data from the literature, the rationality of strength theory proposed in the paper acquire confirmation. The damage-coupled failure criterion presented here can indicate the influence of damage evolution on the failure surface of concrete.
基金Project supported by an Alexander von Humboldt Fellowship and completed in Max-Planck-Institut füt Mathematik, Bonn, West Germany.
文摘Ⅰ. INTRODUCTIONIn the transcendence theory Gelfond’s criterion of transcendence over Q is a. very powerful tool for establishing algebraic independence of several numbers. W. D. Brownawell generalized Gelfond’s criterion of transcendence to a field of finite transcendence type. In this note Brownawell’s criterion is extended to several variables, i. e. we establish criteria of algebraic independence of several numbers over
