Analytical Models of Interstitial-Atom-Induced Stresses in Isotropic Metallic Materials

Interstitial-atom-induced stresses exhibit a resistive effect with respect to mechanical loading of metallic materials, i.e., metallic materials are strengthened due to the resistive effect. Consequently, mechanical properties of metallic materials are improved due to this strengthening. This book presents original analytical models of interstitial-atom induced stresses in isotropic metallic materials. These stresses are determined for such a model material system to correspond to real isotropic metallic materials with interstitial atoms. The model material system considers characteristics of these atoms, i.e., the radius R and the weight fraction wf. The analytical models are determined by different mathematical procedures, which are applied to fundamental equations of solid continuum mechanics. These different procedures result in different mathematical solutions for the interstitial-atom-induced stresses. Finally, due to these different solutions, the principle of minimum total potential energy of an elastic solid body is required to be considered, i.e., such a mathematical solution is considered to exhibit minimum total potential energy. Accordingly, such a stress-strain state of the model material system is realized to correspond to this solution. Results of this book are applicable within basic research (solid continuum mechanics, theoretical physics, materials science), as well as within the practice of engineering. The analytical models in this book can be incorporated into analytical, computational and experimental models of material stresses, interactions of energy barriers with dislocations and magnetic domain walls, etc. Material scientists and engineers can determine such numerical values of R and wf to result in a maximum value of the interstitial-atom-induced strengthening of real isotropic metallic materials.