Download Mechanical Identification of Composites by W. P. De Wilde Civ. Eng., Ph.D. (auth.), A. Vautrin, H. Sol PDF

By W. P. De Wilde Civ. Eng., Ph.D. (auth.), A. Vautrin, H. Sol (eds.)

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2 .... 1 ............... fiber volume fraction ("/0) 10 20 30 40 Figure 6. Amplitude and phase angle of the complex engineering constants as a function of fiber volume fraction 28 From figure 6. the following conclusions can be drawn: * * * * * the amplitude of E1* and E2* increase; the amplitude of G12* increases. but the slope is smaller than for E1* and E2*; the amplitude of Poisson's ratio decreases; the phase-angles ofEl*. E2* and G12* decrease; the phase-angles OfVI2* increases to positive values.

Yun. '. - matrix-blocks - interfaces ... :1 Symmetric elementary cell. a mechanical surface connecting two adjacent layers which depends on the relative direction of their fibers Dama~e concept Figure 3 : Laminate modelling The ideas we are following have been introduced by Kachanov and Rabotnov [14], [28] for metallic materials: - First, we stay in the Continuum Mechanics framework by adding a new internal variable to describe the damage state, to the classical internal variables as plastic strain, hardening variable,....

1: _- ---p-=-tgu 11 + -P211 + -P-tg 111 + ---p-=-tgu 6b1 (14) The conclusion is that the modal damping ratio of an arbitrary modeshape of an orthotropic plate consists of contributions from each of the plate rigidities. The contribution factor of a plate rigidity is the ratio of the potential energy associated to that rigidity to the total potential energy of the modeshape. 21 DETERMINATION OF THE ELASTIC MODULI The detennination of the elastic part of the 4 engineering constants of orthotropic plates is based on the comparison of experimentally measured resonant frequencies and numerically calculated resonant frequencies of a test plate with free boundary conditions.

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