By Martin Knops
Written by way of Puck's scholar and appointed successor Martin Knops, this publication provides Alfred Puck´s failure version, which, between a number of different theories, predicts fracture limits most sensible and describes the failure phenomena in FRP such a lot realistically – as proven in the "World-wide Failure Exercise". utilizing Puck´s version the composite engineer can persist with the slow failure strategy in a laminate and deduce from the result of the research the right way to enhance the laminate design.
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Additional info for Analysis of Failure in Fiber Polymer Laminates: The Theory of Alfred Puck
On the other hand a fracture criterion of this kind can only be calibrated by experimental values for the sustainable stress of the action plane, when a σ⊥-stressing is acting alone, when a τ⊥⊥-stressing is acting alone and when a τ⊥||-stressing is acting alone. This means that fracture tests have to be performed with uniaxial σ⊥, pure τ⊥⊥ and pure τ⊥||. If in such a test with – for instance – a single tensile stressing σ⊥t the fracture would occur in the action plane of the applied stressing this would be the sustainable tensile stressing of the action plane.
These three stresses potentially provoke IFF on their common action plane inclined by the angle θ. This is why Puck has 11 12 The angle θ is measured in a counterclockwise direction starting from the x3-axis. The two stresses σt and τt1 act on planes inclined by θ±90°. 1 Coordinate systems, stresses and stressings 25 Fig. 18. Stresses of the action plane and fracture angle formulated his IFF-criteria – which will be discussed later in detail – with the stresses σn(θ),τnt(θ), τn1(θ). σ n (θ ) = σ 2 ⋅ cos 2 θ + σ 3 ⋅ sin 2 θ + 2 ⋅ τ 23 ⋅ sin θ ⋅ cos θ ( τ nt (θ ) = − σ 2 ⋅ sin θ ⋅ cos θ + σ 3 ⋅ sin θ ⋅ cos θ + τ 23 ⋅ cos 2 θ − sin 2 θ τ n1 (θ ) = τ 31 ⋅ sin θ + τ 21 ⋅ cos θ (Eq.
This procedure can be illustrated by the Mohr-circle (Fig. 20, right hand side). On planes (xI, xII) and (xI, xIII) inclined by the angle ϕ to the (x1, x2)-plane and the (x1, x3)-plane respectively no shear stress τII III is acting. This elimination of shear stresses corresponds to the determination of principal stresses in isotropic materials (compare chapter Mohr’s fracture hypothesis). However, in a lamina one material axis (the fiber direction designated as x1) is fixed and the coordinate system can just be rotated around this axis.