The purpose is to reestablish rather complete basic balance equations and boundary conditions for polar thermomechanical continua based on the restudy of the traditional theories of micropolar thermoelasticity and the...The purpose is to reestablish rather complete basic balance equations and boundary conditions for polar thermomechanical continua based on the restudy of the traditional theories of micropolar thermoelasticity and thermopiezoelectricity . The equations of motion and the local balance equation of energy rate for micropolar thermoelasticity are derived from the rather complete principle of virtual power. The equations of motion, the balance equation of entropy and all boundary conditions are derived from the rather complete Hamilton principle . The new balance equations of momentum and energy rate which are essentially different from the existing results are presented. The corresponding results of micromorphic thermoelasticity and couple stress elastodynamics may be naturally obtained by the transition and the reduction from the micropolar case , respectively . Finally , the results of micropolar thermopiezoelectricity are directly given .展开更多
The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theor...The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theory. The desired results for micromorphic continuum mechanics and couple stress theory are naturally obtained via direct transitions and reductions from the coupled conservation law of energy for micropolar continuum theory, respectively. The basic balance laws and equations for micromorphic continuum mechanics and couple stress theory are constituted by combining these results derived here and the traditional conservation laws and equations of mass and microinertia and the entropy inequality. The incomplete degrees of the former related continuum theories are clarified. Finally, some special cases are conveniently derived.展开更多
Based on a linear quasi-geostrophic vorticity equation, we have set up an analytical diagnostic mode for the Antarctic Circumpolar Current. The results show that the balance among wind stress,ocean horizontal viscous ...Based on a linear quasi-geostrophic vorticity equation, we have set up an analytical diagnostic mode for the Antarctic Circumpolar Current. The results show that the balance among wind stress,ocean horizontal viscous stress and the β-effect is the basic balance of the Antarctic Circumpolar Current, and the center velocity of the jet, coming from the Drake Passage,will decrease due to the ocean dynamic adjustment, and the width in the north-south direction will decreasegradually. The jet coming from the Drake Passage moves about 4°northward because of the inducement of winddrivencurrents. The clockwise vorticity appearing in the south-west corner corresponds to the Weddell Gyre.The characters of the Antarctic Circumpolar Current described by the model are congruous with observations basically.展开更多
基金the National Natural Science Foundation of China (10072024) the Research Foundation of Liaoning Education Committee (990111001)
文摘The purpose is to reestablish rather complete basic balance equations and boundary conditions for polar thermomechanical continua based on the restudy of the traditional theories of micropolar thermoelasticity and thermopiezoelectricity . The equations of motion and the local balance equation of energy rate for micropolar thermoelasticity are derived from the rather complete principle of virtual power. The equations of motion, the balance equation of entropy and all boundary conditions are derived from the rather complete Hamilton principle . The new balance equations of momentum and energy rate which are essentially different from the existing results are presented. The corresponding results of micromorphic thermoelasticity and couple stress elastodynamics may be naturally obtained by the transition and the reduction from the micropolar case , respectively . Finally , the results of micropolar thermopiezoelectricity are directly given .
文摘The purpose is to reestablish the balance laws of momentum, angular momentum and energy and to derive the corresponding local and nonlocal balance equations for micromorphic continuum mechanics and couple stress theory. The desired results for micromorphic continuum mechanics and couple stress theory are naturally obtained via direct transitions and reductions from the coupled conservation law of energy for micropolar continuum theory, respectively. The basic balance laws and equations for micromorphic continuum mechanics and couple stress theory are constituted by combining these results derived here and the traditional conservation laws and equations of mass and microinertia and the entropy inequality. The incomplete degrees of the former related continuum theories are clarified. Finally, some special cases are conveniently derived.
文摘Based on a linear quasi-geostrophic vorticity equation, we have set up an analytical diagnostic mode for the Antarctic Circumpolar Current. The results show that the balance among wind stress,ocean horizontal viscous stress and the β-effect is the basic balance of the Antarctic Circumpolar Current, and the center velocity of the jet, coming from the Drake Passage,will decrease due to the ocean dynamic adjustment, and the width in the north-south direction will decreasegradually. The jet coming from the Drake Passage moves about 4°northward because of the inducement of winddrivencurrents. The clockwise vorticity appearing in the south-west corner corresponds to the Weddell Gyre.The characters of the Antarctic Circumpolar Current described by the model are congruous with observations basically.
