Analysis of Failure in Fiber Polymer Laminates: The Theory by Martin Knops

By Martin Knops

This booklet provides for the 1st time comprehensively the idea of Alfred Puck on failure in Fiber Polymer Laminates. After a short advent into the failure research of laminates and its background, the textual content focuses first on Puck’s fracture standards and offers specified details on their actual heritage, mathematical derivation and alertness. one other center a part of Puck’s thought is his idea for publish Failure research. the following, too, the actual heritage and the analytical technique are provided. The theoretical chapters are accomplished by way of the presentation of the newest advancements, specifically the honor of residual stresses and probabilistic results. the second one major a part of the e-book bargains with the broad experimental verification software which has been comprehensive because the mid 1990’s. due to this paintings, the Puck idea could be considered as greater established than the other concept. All experimental set ups and the most important effects are offered and explained.

The ebook is intended for all readers who're attracted to the layout and research of composite constructions, together with engineering scholars, scientists and composite designers in undefined.

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F (σ 1 , σ 2 , σ 3 , τ 23 , τ 31 , τ 21 , R||t , R||c , R⊥t , R⊥c , R⊥⊥ , R⊥|| ) = 1 > (Eq. 6) A fracture criterion with the value “1” on the right hand side has turned to a fracture condition. If the value of the function F on the left hand side of a fracture criterion, e. g. (Eq. 6) remains smaller than “1”, there is no fracture. If it is exactly “1”, the fracture condition is fulfilled and fracture occurs; if the value of the function F is greater than “1”, the fracture limit is exceeded. The result of (Eq.

Puck, however, based his fracture criteria on a reasonable understanding of the brittle fracture, formulated in his fracture hypotheses. He works with the stresses σn, τnt and τn1 which are acting on a common fiber parallel action plane of a UD-lamina. The two shear stresses τnt and τn1 can be combined to one resulting shear stress τnψ (see (Eq. 4) and Fig. 18). Puck’s fracture hypotheses are the following: 1. Inter Fiber Fracture on a plane parallel to the fibers is caused by the stresses σn and τnψ acting on the fracture plane.

15. Lamina- and laminate coordinate systems 8 9 “layer” is used for the real structure, “lamina” for the mathematical model. Defined as a material with 3 perpendicular planes of material symmetry. 2 Coordinate system of the laminate A laminate as it is considered here is made up of two or more unidirectional laminae with different fiber directions. The laminae can be of various thicknesses and consist of different materials. Since the natural material axes differ from lamina to lamina it is more convenient to analyze laminates using a common fixed system of coordinates (x, y, z), where z is always normal to the plane of the laminate.

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