By Martin Knops
This ebook provides for the 1st time comprehensively the speculation of Alfred Puck on failure in Fiber Polymer Laminates. After a quick advent into the failure research of laminates and its heritage, the textual content focuses first on Puck’s fracture standards and provides targeted details on their actual history, mathematical derivation and alertness. one other middle a part of Puck’s concept is his inspiration for submit Failure research. right here, too, the actual heritage and the analytical method are provided. The theoretical chapters are accomplished by way of the presentation of the newest advancements, specifically the distinction of residual stresses and probabilistic results. the second one major a part of the booklet offers with the wide experimental verification software which has been comprehensive because the mid 1990’s. due to this paintings, the Puck thought might be considered as higher proven than the other concept. All experimental set ups and the key effects are provided and explained.
The ebook 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 stress τ21 is acting on the x2-plane parallel to the fibers and the corresponding shear stress τ12 of the same magnitude is acting on the x1-plane. This shear stress on the x1-plane is correctly addressed as τ12. However, there is just one strength parameter R⊥|| and it does not contain the information about the fracture plane. This could be either the x2- or the x1-plane or even another plane. The corresponding fracture resistances of the two planes under consideration differ, however, considerably.
In order to arrive to the RF or MS the structural load must be increased stepwise until the limit state of the structure is reached. Cases leading to residual stresses (e. g. curing of the laminate) are kept constant within such an analysis. This difference has also been highlighted in the chapter “Distinguishing residual and load determined stresses”. The calculation of RF and MS via the determination of the limit state of the composite structure can be performed in cases of statically determined structures based on analytical formulae.
Eq. 14) can easily be transformed to a fracture criterion being formulated with the stress exposure fE,FF: f E , FF = f E , FF = σ1 R||t σ1 (− R||c ) for σ1 0 (Eq. 15) for σ1 < 0 For a preliminary analysis this simple fracture criterion is sufficient. However, for a precise analysis a more sophisticated formulation can be 38 4 Puck’s action plane fracture criteria useful which takes into account secondary effects, too. These effects are discussed in the following: A uniaxial σ2-stress (or σ3-stress, respectively) leads – due to a Poisson’s effect – to an additional micro-mechanical strain in fiber direction ε1.