Compensation systems for low temperature applications The book is dedicated to the behaviour of ductile materials at cryogenic temperatures structural stability issues and reliability oriented parametric optimisation of compensation systems containing the corrugated bellows. The problems of local and global stability of systems containing bellows coupling between the low cycle fatigue and stability as well as evolution of plastic strain fields micro damage and strain induced phase transformation in the corrugated shells at cryogenic temperatures are presented. As a special feature reliability oriented optimum design of compensation systems under strength stability fatigue and geometrical constraints is discussed. The relevant applications in the particle accelerators and cryogenic transfer lines are shown. TOC:Introduction to the Compensation Systems. Thermodynamics of Processes Occurring in Metals at Low Temperatures. Properties of Austenitic Stainless Steels at Cryogenic Temperatures. Plastic Yielding and Evolution of Ductile Damage under Cryogenic Conditions. Strain Induced Martensitic Transformation at Low Temperatures. Stability of Corrugated Axisymmetric Shells. Material and Fatigue Induced Structural Instabilities of Corrugated Bellows at Low Temperatures. Reliability Oriented Optimum Design of Cryogenic Compensation Systems. Applications: Accelerators for High Energy Physics and Cryogenics Transfer Lines