Bücher von Ladislav Ceniga

This book presents original mathematical models of thermal-stress-field interactions in two-component materials, which result from the superposition method, along with mathematical models of thermal-stress induced micro-/macro-strengthening and thermal-stress induced intercrystalline or transcrystalline crack formation. The mathematical determination results from mechanics of an isotropic elastic continuum. The materials consist of an isotropic matrix with isotropic ellipsoidal inclusions. The thermal stresses are a consequence of different thermal expansion coefficients of the matrix and ellipsoidal inclusions. The mathematical models of the thermal-stress-field interactions include microstructural parameters of a real matrix-inclusion composite. In case of a real matrix-inclusion composite, such numerical values of the microstructural parameters can be determined, which result in maximum values of the micro- and macro-strengthening, and which define limit states with respect to the intercrystalline or transcrystalline crack formation in the matrix and the ellipsoidal inclusion. This numerical determination is performed by a programming language.

This book presents original mathematical models of thermal stresses in composite materials with three components. In contrast to mathematical models for two-component materials, which are determined in the first volume, the three-component materials consist of an isotropic matrix and isotropic ellipsoidal inclusions with an isotropic ellipsoidal envelope. These stresses are a consequence of different thermal expansion coefficients of the material components. The mathematical determination results from mechanics of an isotropic elastic continuum, and results in different mathematical solutions. Due to these different mathematical solutions, the principle of minimum elastic energy is considered. The mathematical models for the three-component materials are applicable to those for the thermal-stress induced micro-/macro-strengthening and crack formation in the two-component materials, which are determined in the first volume.

This book presents original mathematical models of thermal stresses in composite materials, along with mathematical models of thermal-stress induced micro-/macro-strengthening and thermal-stress induced intercrystalline or transcrystalline crack formation. The mathematical determination results from mechanics of an isotropic elastic continuum. The materials consist of an isotropic matrix with isotropic ellipsoidal inclusions. The thermal stresses are a consequence of different thermal expansion coefficients of the matrix and ellipsoidal inclusions.The mathematical models include microstructural parameters of a real matrix-inclusion composite, and are applicable to composites with ellipsoidal inclusions of different morphology (e.g., dual-phase steel, martensitic steel). In case of a real matrix-inclusion composite, such numerical values of the microstructural parameters can be determined, which result in maximum values of the micro- and macro-strengthening, and which define limit states with respect to the intercrystalline or transcrystalline crack formation in the matrix and the ellipsoidal inclusion. This numerical determination is performed by a programming language.