ISBN: 9789048167586

Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications … Meer...

Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in the present book. The methods of multi-scale modelling are presented in the book by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".Major features are:Rigorous mathematical analysis of structures without hypotheses of the Kirchhoff-Love, Kirchhoff-Clebsch typeTaking into consideration the inhomogeneity of the rods and platesNew numerical algorithms decomposing a structure in 3D and 1D parts with some interface conditions between them. Books > Science & Nature > Math & Physics > Mathematics List_Books<

ISBN: 9789048167586

Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications … Meer...

Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in the present book. The methods of multi-scale modelling are presented in the book by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".Major features are:Rigorous mathematical analysis of structures without hypotheses of the Kirchhoff-Love, Kirchhoff-Clebsch typeTaking into consideration the inhomogeneity of the rods and platesNew numerical algorithms decomposing a structure in 3D and 1D parts with some interface conditions between them. Books List_Books<

ISBN: 9789048167586

Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics … Meer...

Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms". Books > Mathematics Soft cover, Springer Shop<

2010, ISBN: 9048167582

gebonden uitgave

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematik, Maschinenbau: Festkörpermechanik, Finite; brandonwiskunde; calculus; composite material; elasticity; equa… Meer...

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematik, Maschinenbau: Festkörpermechanik, Finite; brandonwiskunde; calculus; composite material; elasticity; equation; modeling, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]<

2010, ISBN: 9048167582

gebonden uitgave

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematik, Maschinenbau: Festkörpermechanik, Finite; brandonwiskunde; calculus; compositematerial; elasticity; equat… Meer...

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematik, Maschinenbau: Festkörpermechanik, Finite; brandonwiskunde; calculus; compositematerial; elasticity; equation; modeling, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<