PSI - Issue 5

B. Boukert et al. / Procedia Structural Integrity 5 (2017) 115–122 B.Boukert / Structural Integrity Procedia 00 (2017) 000 – 000

7

121

M1 [1] MT1 MTC2 MTC3 MTC4 MTC5 MTC6

SIG YZ

SIG XZ

Z(mm)

0

0 2 4 6 8

-0,5 -0,4 -0,3 -0,2 -0,1 0,0 0,1 0,2 0,3 0,4 0,5

-2

-4

-0,5 -0,4 -0,3 -0,2 -0,1 0,0 0,1 0,2 0,3 0,4 0,5

-8 -6 -4 -2

Z(mm)

-6

M1 [1] MT1 MTC2 MTC3 MTC4 MTC5 MTC6

-8

-16 -14 -12 -10

-10

-12

Fig.5.Transverse shear stresses SIG xz through the thickness behavior under different Thermal & Hygroscopic load.

Fig.6.Transverse shear stresses SIG yz through the thickness behavior under different Thermal & Hygroscopic load.

The simulations were done for a T300 / 5208 thick composite plate, composed of 4 crossed layers [0°/90°/90°/0°], with an aspect ratio a/h=4 & a/b=1. The behavior of the thick plate is shown in the above curves for a sinusoidal mechanical loading, with different types of thermal and hygroscopic loading as explained in Table 1. The first loading -M1- is a purely mechanical loading where a sinusoidal force is applied, the second loading - MT1- is thermomechanical and the temperature varies linearly,-MTC2- is hygrothermomecanical loading, the temperature and the humidity varies linearly with T 1 =2T 0 & C 1 =2C 0 ,-MTC3- is the same as -MTC2- with zero boundary condition for temperature and humidity in the upper and lower face of the plate,-MTC4- has a boundary condition equal to T 0 and C 0 for the plate faces,-MTC5- is a hygrothermomecanical loading with a parabolic variation of temperature and humidity with zero boundary condition for the plate faces, -MTC6- is a parabolic loading for temperature and humidity where T 1 =2T 0 C 1 =2C 0 , T 2 =2T 1 ,C 2 = 2C 1 . The obtained results by the developed Fortran program was validated with Reddy[1][7] results for the case of a purely mechanical loading, the SIG xx SIG yy SIG xy curves clearly shows the dependence of stress behavior according to the type of thermal and hygroscopic loading, a dominance of the loads MTC4,MTC5,MTC3,MTC2 is observed by compared to M1,MT1,MTC6 loads for SIG xx and SIG yy ,the curves shape of dominant loading follows directly the law of behavior of temperature and humidity ,for example the MTC5 load is symmetrical and antisymmetric behavior for MTC3 load, for the case of SIG xy the anisotropy is not visible (continuous stresses distribution) and the loads MTC5, MTC4, MTC3 dominates the rest of the loading, contrary to what has been observed in SIG xx SIG yy SIG xy cases, the SIG xz ,SIG yz show a low dependence by contribution to the types of hygrothermal loadings, starting with the behaviour of the SIG xz the MT1,MTC3,MTC4,MTC5,MTC6 relating curves are confounded and agree well with the case of the M1 mechanical loading obtained by Reddy [1],the behavior of MTC2 shows the important contribution of the hygroscopic stress by comparing the behaviour of the model MT1 and MTC2,the same comments are valid for the case of the SIG yz .