Non-isothermal theory of rods, plates and shells

Abstract A detailed development of nonlinear thermodynamical theories of rods and shells is discussed using the three dimensional theory of classical continuum mechanics as a starting point. A portion of the paper supplements and amplifies the previous work on the subject by Green, Laws and Naghdi [1]. Also, the method of approximation used in [1] is altered since it has been found to be only partly satisfactory. Special attention is given to non-isothermal linear theories of elastic shells and straight elastic rods which are derived from the three dimensional equations.