LIST OF TABLES
Table page
2-1 Periodic boundary conditions for the square unit cell for unit values of different
strain com p on ents.......... .............................................................. ........ .............. 16
2-2 Periodic boundary conditions for the hexagonal unit cell for unit values of
different strain com ponents. ............................................. ............................. 16
2-3 Material properties of fibers used in the verification problem ..............................19
2-4 Results of elastic constants for laminated composites calculated by empirical
fo rm u la s............................. ............................................................. ............... 2 1
2-5 Results of elastic constants for laminated composite obtained by
m icrom ech anics analy sis ............................................................... .....................22
2-6 Comparisons of G23 for square and hexagonal unit-cells in order to test
transverse isotropy ........... .............................................................. ......... ....... 23
2-7 Macro-strains in different laminates due to thermal loads (AT=-405 K).The
subscript Z denotes the thickness direction ................................... ............... 26
2-8 Maximum principal stresses of a macro model for various graphite/epoxy
com posite system s ........................ ........................ ......... 27
2-9 Maximum principal stresses in the fiber and matrix phases of a unit cell for
various graphite/epoxy composite systems from micro-analysis.............................27
2-10 Percentage difference of principal stresses estimated by square and hexagonal
unit cells. The negative sign indicates that micro-stress result estimated by the
hexagonal unit cell is lower .............. ... ................................ 27
2-11 Laminate macro-strains used to obtain the micro-stresses in the inner and outer
face-sheets of the sandwich composite without internal pressure .........................32
2-12 Laminate macro-strains used to obtain the micro-stresses in the inner and outer
face-sheets of the sandwich composite subjected to a pressure of 10 KPa..............32
2-13 Maximum and minimum principal stresses in the fiber and matrix phases in the
inner and outer face-sheets of the sandwich composite without internal pressure. .33