Applied Structural Mechanics: Fundamentals of Elasticity, by Prof. Dr.-Ing. H. Eschenauer, Prof. Dr. techn. N. Olhoff,

By Prof. Dr.-Ing. H. Eschenauer, Prof. Dr. techn. N. Olhoff, Prof. Dr. Dr.-Ing.E.h W. Schnell (auth.)

In view of the growing to be value of product legal responsibility and the call for for achievement of utmost necessities for brand new items, this booklet presents the elemental instruments for developing version equations in structural mechanics. also, it illustrates the transition and interrelation among structural mechanics and structural optimization. these days, this new course is intensely very important for extra potency within the layout process.
The publication is split into 4 components overlaying the basics of elasticity, airplane and curved load-bearing buildings and structural optimization. each one half includes various difficulties and ideas, with a view to give you the scholar with the elemental instruments from the sphere of elasticity idea and support the pro engineer in fixing problems.
Fachgebiet: Mechanical Engineering Zielgruppe: examine and Development

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Additional resources for Applied Structural Mechanics: Fundamentals of Elasticity, Load-Bearing Structures, Structural Optimization

Example text

07 ----'to!. 0Z + + 1 + -r 07 ~ 0Z OIJ ~ 0Z ((J 2 + -r 1 + -r 7 7 rr

19 ) 7"('5' . Here, indices equipped with a dash refer to the material coordinate system in the UD - layer. Plane elasticity tensor of fourth order for a UD-Iayer in the ordinate system ( see Fig. IO 1: E1, YOUNG's modulus in {- direction parallel to the fibres, E2, YOUNG's modulus in { - direction perpendicular to the fibres , 11 1'2' POISSON's ratio perpendicular to the fibres in case of a loading parallel to the fibres, ~------------------~ / ~ ~ l' fibre matrix Fig. r to the fibres. Rotation of the UD -layer by an angle 0: ( see Fig.

The bodies considered shall furthermore, as it is usual in the classical elasticity theory, be made of a linearly elastic material such that their constitutive law expresses linear relationship between the components of the stress tensor and the strain tenso~ (range 0 - A - in Fig. 1). Such bodies are usually called HOOKEAN bodies. H. , Applied Structural Mechanics © Springer-Verlag Berlin Heidelberg 1997 5 Constitutive laws of linearly elastic bodies 32 elastic stress partially ~astiC:::J F , O~--------------------~ £pl strain o Fig.

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