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Dynamics of flight: Stability and control

Ideas handbook for Dynamics of Flight: balance and keep an eye on, third version

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The modulus and yield stress of the crystalline material is greater than that of the amorphous component so the mechanical properties of a semi-crystalline polymer will vary depending on the ratio of crystalline to amorphous material. 6 GPa as the crystallinity increases from 16% to 39% and the yield stress changes from 72 to 106 MPa over the same crystallinity range. Along with the increase in modulus and yield stress there is a reduction of extension to break, typically for PEEK this will reduce from 250% to 150% as the crystallinity increases over the range 15 to 35 %.

Note that for steady state conditions to be attained, this band width should be stable with respect to time, and neither increase or diminish in an unstable manner: an additional stability statement is required in addition to the satisfaction of (9). Details are omitted here, but the additional statement reads (10) where the constitutive law for the solid is written in the form 1: = f(y, T). The practical relevance of relation (9) is questioned: shear band formation is a highly transient phenomenon, and steady state conditions are rarely achieved in practice.

K. (1976) KunststofJe 66, 538 Narisawa, I. F. (1993) in Materials Science and Technology Volume 12 (eds. RW. Cahn, P. 1. Kramer) VCH Publishers, New York. 5. M (1983) Mechanical Properties of Solid Polymers 2dh edition, Wiley 29 8: Creep DR Moore INTRODUCTION Polymers are non-linear viscoelastic materials. This implies that a 'modulus' for a polymer is both time dependent and stress or strain dependent. e. the properties are the same in all directions within the material). Unfortunately, this simplified condition still leads to an absence of a comprehensive viable theory that describes the deformational behaviour of polymeric systems and consequently it is necessary to use empirical methods to describe 'modulus'.

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