2-14 Maximum and minimum principal stresses in the fiber and matrix phases in the inner and outer face-sheets of the sandwich composite subjected to a pressure of 10 KPa...................... ................ ..... ....... 33 3-1 Material properties of glass/epoxy and carbon/epoxy laminates ...........................36 3-2 Singularity results of E-glass/epoxy................... ..... ........................ 38 3-3 Singularity results of graphite/epoxy. ............. ......................... .....................38 3-4 Dimensions of specimens and various mid-ply thickness .....................................42 3-5 Fracture load and fracture toughness at room and cryogenic temperatures ............42 4-1 Molecular diameter of various gases from CRC Handbook of Chemistry and Physics, 54th Edition......... .................. .. ................ ...... ........... 55 4-2 D description of com posite specim ens ............................................. ............... 56 4-3 Permeability of laminated composites for various number of cryogenic cycles......61 4-4 Permeability of textile composites for various number of cryogenic cycles. ..........62 4-5 Permeability of laminated composites embedded with nano-particles for various number of cryogenic cycles .............................................. .................. 62