This book contains mathematical concepts and theories on topic of thermoelasticity, in the form of published research papers, in addition to those already presented in Volume-I,II,III. The concept of thermoelasticity which forms the central theme of this book, finds its roots and application in branches of Physics , Mathematics , and Engineering. Thermoelastic behavior of different geometric structures and different boundary conditions are discussed in depth for better understanding of the topics . The mathematical approach for thermoelastic problems may be of immense help for those students , researchers and teachers pursuing work on thermoelasticity and will be helpful to increase the thermal efficiency of materials.