This book - "THERMOELASTIC BEHAVIOUR OF SOME SOLID BODIES" comprising of thirteen chapters containing the study of problems of thermoelasticity in real homogeneous and functionally graded material have been investigated. To understand this book one must have knowledge of Residue Theory, Differential Equation, Analysis, Integral Transform and Thermoelasticity. The investigations in the present book are based on the research works of Wu, Roychoudhury, Chen., Dai, Birman, Jabbari, Tonigawa, Noda, Khobragade, Wankhede, Deshmukh, where they have studied the direct and inverse problems of thermoelasticity.