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"This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study."

"In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise accounts of quasi convexity, polyconvexity, and rank-one convexity, which are used in nonlinear elasticity.Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity. In addition, many valuable references are included to direct the reader to other important research."

"Handbook of Nano to Macro Damage Mechanics provides a comprehensive reference for the topics of damage and healing mechanics. Appropriate for an audience of graduate students and faculty, researchers, and professioals in the fields of Mechanical Engineering, Civil Engineering, Aerospace Engineering, Materials Science, and Engineering Mechanics,the volume covers all types of materials that the engineers may encounter including metals, composites, ceramics, polymers, biomaterials, and nanomaterials. The internationally recognized team of contributors employ a consistent and systematic approach offering readers a user friendly reference ideal for frequent consultation.This second edition adds newly established techniques and materials properties codified in the past ten years to this authoritative reference. The volume retains its comprehensive coverage of damage and healing mechanics with updates to core topics and references and addition of other types of damages not covered in the first edition, including thermo-elastoviscoplastic damage-healing model for bituminous materials, damage in granular materials, damage in biological tissue, damage in rubber materials, damage crashworthiness in cars and airplanes, risk analysis in damage structures, and evaluating damage with digital image correlation. The Handbook details computational modeling of constitutive equations as well as solved examples in engineering applications. A wide range of materials that engineers may encounter are covered, including metals, composites, ceramics, polymers, biomaterials, and nanomaterials. The internationally recognized team of contributors employs a consistent and systematic approach, offering readers a user-friendly reference that is ideal for frequent consultation. The Handbook of Damage Mechanics: Nano to Macro Scale for Materials and Structures, second edition is ideal for graduate students and faculty, researchers, and professionals in the fields of Mechanical Engineering, Civil Engineering, Aerospace Engineering, Materials Science, and Engineering Mechanics."