Mechanics of generalized continua: one hundred years after the Cosserats

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing thefundamental principles of the mechanics of generalized continua. The chapterscollected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developmentsin the field of generalized continuum mechanics. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodieswith fractal structure, as well as other related topics. Mechanics of Generalized Continua can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics. Showcases several areas of continuum mechanics that are outgrowths of the work of the Cosserat brothers Focuses on recent developments in continuum mechanics and materials design, presenting several applications of these theories Provides an overview of research from many different areas of continuum mechanics Can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics INDICE: From the contents Foreword. Preface.- Part I On the Cosserat’s Works.- Part II Cosserat Media (Rigidly Rotating Microstructur.- Part III Micromorphic Media (Deformable Microstructure).- Part IV From the Discrete to the Continuum Description (Cosserat and other Continua Often in Relation to DynamicalProperties, Homogenization).- Part V Gradient Theory (Weakly Nonlocal Theories).- Part VI Complex Structured Media (Often with Application to Dislocations).- Part VII Numerical Problems.- Part VIII Beyond the Cosserats: Original Approaches (Kinematics, Geometry, Fractals).

• ISBN: 978-1-4419-5694-1
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 330
• Fecha Publicación: 01/05/2010
• Nº Volúmenes: 1
• Idioma: Inglés