By Martin Knops
This e-book provides for the 1st time comprehensively the idea of Alfred Puck on failure in Fiber Polymer Laminates. After a quick creation into the failure research of laminates and its background, the textual content focuses first on Puck’s fracture standards and offers distinct info on their actual historical past, mathematical derivation and alertness. one other middle a part of Puck’s conception is his inspiration for put up Failure research. the following, too, the actual history and the analytical process are offered. The theoretical chapters are accomplished by way of the presentation of the most recent advancements, specifically the honour of residual stresses and probabilistic results. the second one major a part of the publication bargains with the vast experimental verification application which has been comprehensive because the mid 1990’s. because of this paintings, the Puck concept could be considered as greater proven than the other conception. All experimental set ups and the main effects are offered and explained.
The publication is intended for all readers who're attracted to the layout and research of composite buildings, together with engineering scholars, scientists and composite designers in undefined.
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Additional info for Analysis of Failure in Fiber Polymer Laminates: The Theory of Alfred Puck
The fiber direction of a lamina is given by the angle α between the reference x-axis of the laminate and the major natural material axis (fiber direction) of the lamina, measured in a counter-clockwise direction in the (x, y)-plane [Daniel and Ishai 1994]. 3 Stresses of the UD-lamina The load acting on a laminate is usually given in the (x, y, z)-laminate coordinate system. Strains and stresses however should always be calculated in the lamina (natural) coordinate system in order to simplify the stress, strain relations by making use of the orthotropy of the UD-lamina.
34 3 Stress and strength analysis: Basics and definitions At first glance the definitions of both Reserve Factor and Margin of Safety seem to be trivial. However, there are many misunderstandings concerning these factors. Unlike the stress exposure fE both RF and MF can only be defined on a laminate level of a structure and not on the lamina level. ”. In general, that is a fundamental difference, because a doubling of the structural load might not lead to a doubling of the stresses in each lamina.
The effect is enlarged locally by the circumstance that the stress in the matrix is inhomogeneously distributed and effectively larger than the transverse stress σ2 (σ3, respectively) on the lamina-level. This effect of stress and strain magnification can best be explained using the common model of serial springs. If a thin UD-lamina (which consists alternately of fibers and matrix) is stressed transverse to the fiber direction, the load is – on an intersection without fibers – carried by the matrix alone.