Abstract
A proposed method for determining the stresses in a plate of moderate thickness in a temperature field, using the Green's function of the differential equation of the problem. For a number of simple cases such as that of infinite plate, plate strip, plate wedge etc., bending moments and torques are determined for a continuous and discontinuous temperature field. Finally, thermal stresses are discussed for a few cases of plates resting on an elastic foundation.References
[1] E.Melan, H. Parcus, wärmespunnungen, Wieder 1958, S. 59.
[2] K. Marguerre, Temperaturverlauf und Temperaturspannungen in Platten und schalenförmigen Körpern, Ing. Arch., 1937.
[3] [in Russian]
[4] W. Nowacki, J. Mossakowski, Powierzchnie wpływowe płyt o konturze w postaci wycinka pierścienia kołowego. Arch. Mech. stos. 2 5 (1953).
[5] S. Timoshenko, Theory of Plates and Shells, New York 1938.
[6] W. Nowacki, Płyty prostokątne o mieszanych warunkach brzegowych, Arch. Mech. stos., 8, 3/4 (1951).
[7] S. KALISKI, W. NOWACKI, Some Problems of Structural Analysis of Plates with Mixed Boundary Conditions, Arch. Mech. stos., 4 8 (1956).
[8] K. Girkmann, Flüchentragwerke, Wiedeń 1954, W, 4, S. 430.
[2] K. Marguerre, Temperaturverlauf und Temperaturspannungen in Platten und schalenförmigen Körpern, Ing. Arch., 1937.
[3] [in Russian]
[4] W. Nowacki, J. Mossakowski, Powierzchnie wpływowe płyt o konturze w postaci wycinka pierścienia kołowego. Arch. Mech. stos. 2 5 (1953).
[5] S. Timoshenko, Theory of Plates and Shells, New York 1938.
[6] W. Nowacki, Płyty prostokątne o mieszanych warunkach brzegowych, Arch. Mech. stos., 8, 3/4 (1951).
[7] S. KALISKI, W. NOWACKI, Some Problems of Structural Analysis of Plates with Mixed Boundary Conditions, Arch. Mech. stos., 4 8 (1956).
[8] K. Girkmann, Flüchentragwerke, Wiedeń 1954, W, 4, S. 430.
