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Geometric Continuum Mechanics and Induced Beam Theories (Paperback, Softcover reprint of the original 1st ed. 2015): Simon R.... Geometric Continuum Mechanics and Induced Beam Theories (Paperback, Softcover reprint of the original 1st ed. 2015)
Simon R. Eugster
R3,384 Discovery Miles 33 840 Ships in 10 - 15 working days

This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Geometric Continuum Mechanics and Induced Beam Theories (Hardcover, 2015 ed.): Simon R. Eugster Geometric Continuum Mechanics and Induced Beam Theories (Hardcover, 2015 ed.)
Simon R. Eugster
R3,627 Discovery Miles 36 270 Ships in 10 - 15 working days

This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Evaluation of Scientific Sources in Mechanics - Heiberg's Prolegomena to the Works of Archimedes and Hellinger's... Evaluation of Scientific Sources in Mechanics - Heiberg's Prolegomena to the Works of Archimedes and Hellinger's Encyclopedia Article on Continuum Mechanics (Paperback, 1st ed. 2022)
Francesco Dell'Isola, Simon R. Eugster, Mario Spagnuolo, Emilio Barchiesi
R5,278 Discovery Miles 52 780 Ships in 10 - 15 working days

This book evaluates the importance of various historical sources and discusses their role in the creation and transmission of scientific knowledge. It presents an annotated translation of the introductory words given by Johan Ludvig Heiberg to his translation of the works of Archimedes. Further, it offers English translations of and commentaries on selected fundamental works by Ernst Hellinger and Gabrio Piola, which lay the groundwork for the modern theory of advanced materials, and also examines the criteria used to evaluate scientific works.

Evaluation of Scientific Sources in Mechanics - Heiberg's Prolegomena to the Works of Archimedes and Hellinger's... Evaluation of Scientific Sources in Mechanics - Heiberg's Prolegomena to the Works of Archimedes and Hellinger's Encyclopedia Article on Continuum Mechanics (Hardcover, 1st ed. 2022)
Francesco Dell'Isola, Simon R. Eugster, Mario Spagnuolo, Emilio Barchiesi
R5,311 Discovery Miles 53 110 Ships in 10 - 15 working days

This book evaluates the importance of various historical sources and discusses their role in the creation and transmission of scientific knowledge. It presents an annotated translation of the introductory words given by Johan Ludvig Heiberg to his translation of the works of Archimedes. Further, it offers English translations of and commentaries on selected fundamental works by Ernst Hellinger and Gabrio Piola, which lay the groundwork for the modern theory of advanced materials, and also examines the criteria used to evaluate scientific works.

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