Acta Physica Sinica //www.getgobooth.com/ 必威体育下载 daily 15 2024-08-20 10:33:40 apsoffice@iphy.ac.cn apsoffice@iphy.ac.cn 2024-08-20 10:33:40 zh Copyright ©Acta Physica Sinica All Rights Reserved. 京ICP备05002789号-1 Address: PostCode:100190 Phone: 010-82649829,82649241,82649863 Email: apsoffice@iphy.ac.cn Copyright ©Acta Physica Sinica All Rights Reserved apsoffice@iphy.ac.cn 1000-3290 <![CDATA[ASSUMPTIONS IN SAINT-VENANT'S SOLUTION FOR THE TORSION OF AN ELASTIC CYLINDER]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.215 Author(s): CHIEN WEI-ZANG <br/><p>In this paper, it is proved that Saint-Venant's solution for torsion can be obtained from the following simplified assumptions: (?τxz)/(?z)=(?τyz)/(?z)=0. These assumptions are much more simplified than those given by Saint-Venant in 1855, A. Clebsch in 1862, W. Voigt in 1887, and J. N. Goodier in 1937.</p> <br/>Acta Physica Sinica. 1953 9(4): 215-220. Published 1953-02-05 Author(s): CHIEN WEI-ZANG <br/><p>In this paper, it is proved that Saint-Venant's solution for torsion can be obtained from the following simplified assumptions: (?τxz)/(?z)=(?τyz)/(?z)=0. These assumptions are much more simplified than those given by Saint-Venant in 1855, A. Clebsch in 1862, W. Voigt in 1887, and J. N. Goodier in 1937.</p> <br/>Acta Physica Sinica. 1953 9(4): 215-220. Published 1953-02-05 ASSUMPTIONS IN SAINT-VENANT'S SOLUTION FOR THE TORSION OF AN ELASTIC CYLINDER CHIEN WEI-ZANG 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 215-220. article doi:10.7498/aps.9.215 10.7498/aps.9.215 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.215 215-220 <![CDATA[VARIATIONAL METHODS IN THE PROBLEM OF TORSION FOR MULTIPLY-CONNECTED DOMAINS]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.221 Author(s): LIN HUNG-SUN <br/><p>The problem of torsion of a prismatic body with multiply-connected, cross section is considered from the view-point of two basic variationa'l principles in the theory of elasticity, viz., the principle of minimum potential energy and the principle of complementary energy. According to the former, among all admissible states of strain, in the sense of being derived from sets of displacements chat satisify the specified displacement boundary conditions, the true state renders the potential energy of the system a minimum. In the latter, among all admissible states in the sense of satisfying the equilibrium conditions and the specified stress boundary conditions, the true state renders the complementary energy of the elastic body a minimum.</p> <br/>Acta Physica Sinica. 1953 9(4): 221-237. Published 1953-02-05 Author(s): LIN HUNG-SUN <br/><p>The problem of torsion of a prismatic body with multiply-connected, cross section is considered from the view-point of two basic variationa'l principles in the theory of elasticity, viz., the principle of minimum potential energy and the principle of complementary energy. According to the former, among all admissible states of strain, in the sense of being derived from sets of displacements chat satisify the specified displacement boundary conditions, the true state renders the potential energy of the system a minimum. In the latter, among all admissible states in the sense of satisfying the equilibrium conditions and the specified stress boundary conditions, the true state renders the complementary energy of the elastic body a minimum.</p> <br/>Acta Physica Sinica. 1953 9(4): 221-237. Published 1953-02-05 VARIATIONAL METHODS IN THE PROBLEM OF TORSION FOR MULTIPLY-CONNECTED DOMAINS LIN HUNG-SUN 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 221-237. article doi:10.7498/aps.9.221 10.7498/aps.9.221 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.221 221-237 <![CDATA[TORSION OF PRISMS BOUNDED BY TWO INTERSECTING CIRCULAR CYLINDERS]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.238 Author(s): HU HAI-CHANG <br/><p>In this paper, the problem of torsion of prisms bounded by two intersecting circular cylinders is solved by means of Fourier's integrals. It is found that when the angle of intersection of these two circular cylinders is commensurable with π the stress function and the torsional rigidity of the prism can be expressed in closed form in terms of circular and hyperbolic sines and cosines.</p> <br/>Acta Physica Sinica. 1953 9(4): 238-254. Published 1953-02-05 Author(s): HU HAI-CHANG <br/><p>In this paper, the problem of torsion of prisms bounded by two intersecting circular cylinders is solved by means of Fourier's integrals. It is found that when the angle of intersection of these two circular cylinders is commensurable with π the stress function and the torsional rigidity of the prism can be expressed in closed form in terms of circular and hyperbolic sines and cosines.</p> <br/>Acta Physica Sinica. 1953 9(4): 238-254. Published 1953-02-05 TORSION OF PRISMS BOUNDED BY TWO INTERSECTING CIRCULAR CYLINDERS HU HAI-CHANG 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 238-254. article doi:10.7498/aps.9.238 10.7498/aps.9.238 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.238 238-254 <![CDATA[SAINT-VENANT'S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.255 Author(s): YEH KAI-YUAN <br/><p>The free torsion problem, solved by Saint-Venant with semi-inverse method, is well known in the theory of elasticity. "In this paper we discuss this problem systematically by considering a cylindrical bar whose cross section is a simply connected region under twist moment M, and assume that the stress function ψ is in the form of a third degree polynomial.</p> <br/>Acta Physica Sinica. 1953 9(4): 255-274. Published 1953-02-05 Author(s): YEH KAI-YUAN <br/><p>The free torsion problem, solved by Saint-Venant with semi-inverse method, is well known in the theory of elasticity. "In this paper we discuss this problem systematically by considering a cylindrical bar whose cross section is a simply connected region under twist moment M, and assume that the stress function ψ is in the form of a third degree polynomial.</p> <br/>Acta Physica Sinica. 1953 9(4): 255-274. Published 1953-02-05 SAINT-VENANT'S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL YEH KAI-YUAN 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 255-274. article doi:10.7498/aps.9.255 10.7498/aps.9.255 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.255 255-274 <![CDATA[MECHANICAL CONDITIONS FOR ISOTHERMAL RUPTURE OF METALS]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.275 Author(s): LIU SHU-I <br/><p>The theoretical conditions for brittle rupture were found with one single normal stress as the only mechanical variable. But, for the conditions of ductile rupture, experi-mental facts demand the specification of some stress states instead of a single stress and certain arbitrary stress functions were taken for this purpose. A theoretical formulation of the conditions for ductile rupture has not been made up to this date. Fundamentally, such problem would be approached from the dislocation theory, but quantitative treatment is difficult in the present state of this theory. Alternatively it may be possible to approach this problem from the view point of relaxation, should the basic phenomenon of strain hardening associated with ductile fracturing be well interrepted from this view point. It is believed that future studies along such lines will throw more light on the understanding of this problem. Yet, it was thought that if one considers the thermodynamic relation among various types of energy involved in ductile fracture instead of simply taking some arbitrary stress functions as criterion, the conclusions thus obtained would be helpful in understanding this problem, Thus this paper was written.</p> <br/>Acta Physica Sinica. 1953 9(4): 275-293. Published 1953-02-05 Author(s): LIU SHU-I <br/><p>The theoretical conditions for brittle rupture were found with one single normal stress as the only mechanical variable. But, for the conditions of ductile rupture, experi-mental facts demand the specification of some stress states instead of a single stress and certain arbitrary stress functions were taken for this purpose. A theoretical formulation of the conditions for ductile rupture has not been made up to this date. Fundamentally, such problem would be approached from the dislocation theory, but quantitative treatment is difficult in the present state of this theory. Alternatively it may be possible to approach this problem from the view point of relaxation, should the basic phenomenon of strain hardening associated with ductile fracturing be well interrepted from this view point. It is believed that future studies along such lines will throw more light on the understanding of this problem. Yet, it was thought that if one considers the thermodynamic relation among various types of energy involved in ductile fracture instead of simply taking some arbitrary stress functions as criterion, the conclusions thus obtained would be helpful in understanding this problem, Thus this paper was written.</p> <br/>Acta Physica Sinica. 1953 9(4): 275-293. Published 1953-02-05 MECHANICAL CONDITIONS FOR ISOTHERMAL RUPTURE OF METALS LIU SHU-I 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 275-293. article doi:10.7498/aps.9.275 10.7498/aps.9.275 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.275 275-293 <![CDATA[APPROXIMATE SOLUTION OF A ROTATING RECTANGULAR PLATE]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.294 Author(s): ZHANG FU-FAN <br/><p>The analysis of a rotating circular plate is an easy problem because of circular symmetry. However, for the boundary other than circular, the problem will become much more complicated. For example, we may be theoretically interested in the stresses in a rectangular plate, which rotates with respect to its geometric center. If die thickness of he plate is small when compared with its length and width, the variation of stresses throughout the thickness can be neglected. Consequently, we shall have a two dimensional problem with body force acting. To solve a two dimensional problem with rectangular boundary is not always feasible. By using trigonometric series, we can only satisfy the conditions on the two sides of the plate. Accordingly the result can only be of value when the length of the plate is much larger than its width. If both dimensions of the plate are of the same order, the boundary conditions on the four sides must be considered. In the solution of the problem of this kind the principle of minimum strain energy may be successfully applied.</p> <br/>Acta Physica Sinica. 1953 9(4): 294-301. Published 1953-02-05 Author(s): ZHANG FU-FAN <br/><p>The analysis of a rotating circular plate is an easy problem because of circular symmetry. However, for the boundary other than circular, the problem will become much more complicated. For example, we may be theoretically interested in the stresses in a rectangular plate, which rotates with respect to its geometric center. If die thickness of he plate is small when compared with its length and width, the variation of stresses throughout the thickness can be neglected. Consequently, we shall have a two dimensional problem with body force acting. To solve a two dimensional problem with rectangular boundary is not always feasible. By using trigonometric series, we can only satisfy the conditions on the two sides of the plate. Accordingly the result can only be of value when the length of the plate is much larger than its width. If both dimensions of the plate are of the same order, the boundary conditions on the four sides must be considered. In the solution of the problem of this kind the principle of minimum strain energy may be successfully applied.</p> <br/>Acta Physica Sinica. 1953 9(4): 294-301. Published 1953-02-05 APPROXIMATE SOLUTION OF A ROTATING RECTANGULAR PLATE ZHANG FU-FAN 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 294-301. article doi:10.7498/aps.9.294 10.7498/aps.9.294 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.294 294-301 <![CDATA[ORBITAL ANGULAR MOMENTUM DISTRIBUTION IN NUCLEI AND NUCLEAR DENSITY]]> //www.getgobooth.com/en/article/doi/10.7498/aps.9.302 Author(s): YANG LI-MING <br/><p>The purpose of this paper is to investigate to what extent the distribution of orbital angular momentum of nucleons in a nucleus implied by the (theory of shell structure limits the form of nuclear density. The effect of the latter has shown itself in a number of physical problems, such as the scattering of high, energy electrons by nuclei, the hyperfine structure, the absorption of negative μ-mesons by nuclei, internal conversion coefficient in heavy elements, etc.</p> <br/>Acta Physica Sinica. 1953 9(4): 302-316. Published 1953-02-05 Author(s): YANG LI-MING <br/><p>The purpose of this paper is to investigate to what extent the distribution of orbital angular momentum of nucleons in a nucleus implied by the (theory of shell structure limits the form of nuclear density. The effect of the latter has shown itself in a number of physical problems, such as the scattering of high, energy electrons by nuclei, the hyperfine structure, the absorption of negative μ-mesons by nuclei, internal conversion coefficient in heavy elements, etc.</p> <br/>Acta Physica Sinica. 1953 9(4): 302-316. Published 1953-02-05 ORBITAL ANGULAR MOMENTUM DISTRIBUTION IN NUCLEI AND NUCLEAR DENSITY YANG LI-MING 1953-02-05 Personal use only, all commercial or other reuse prohibited Acta Physica Sinica. 1953 9(4): 302-316. article doi:10.7498/aps.9.302 10.7498/aps.9.302 Acta Physica Sinica 9 4 1953-02-05 //www.getgobooth.com/en/article/doi/10.7498/aps.9.302 302-316
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