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18 2 Linear Elastic Stress-Strain Relations 0 0 0 Note that the strain in dimensionless.Note also that s1l is very small but is not zero as it seems from the above result.To get the strain 1 exactly,we need to use the format command to get more digits as follows: >format short e >epsilon epsilon -4.4444e-005 2.2957e-003 -1.0514e-003 0 0 0 Finally,the change in length in each direction is calculated by multiplying the strain by the dimension in each direction as follows: >d1 epsilon(1)*60 d1= -2.6667e-003 >>d2=eps11on(2)*60 d2= 1.3774e-001 >>d3=eps11on(3)*60 d3= -6.3085e-002 Notice that the change in the fiber direction is -2.6667 x 10-3 mm which is very small due to the fibers reducing the deformation in this direction. The minus sign indicates that there is a reduction in this dimension along the fibers.The change in the 2-direction is 0.13774mm and is the largest change because the tensile force is along this direction.This change is positive indicating an extension in the dimension along this direction.Finally,the change in the 3-direction is -0.063085 mm.This change is minus since it indicates a reduction in the dimension along this direction.18 2 Linear Elastic Stress-Strain Relations 0 0 0 Note that the strain in dimensionless. Note also that ε11 is very small but is not zero as it seems from the above result. To get the strain ε11 exactly, we need to use the format command to get more digits as follows: >> format short e >> epsilon epsilon = -4.4444e-005 2.2957e-003 -1.0514e-003 0 0 0 Finally, the change in length in each direction is calculated by multiplying the strain by the dimension in each direction as follows: >> d1 = epsilon(1)*60 d1 = -2.6667e-003 >> d2 = epsilon(2)*60 d2 = 1.3774e-001 >> d3 = epsilon(3)*60 d3 = -6.3085e-002 Notice that the change in the fiber direction is −2.6667 × 10−3 mm which is very small due to the fibers reducing the deformation in this direction. The minus sign indicates that there is a reduction in this dimension along the fibers. The change in the 2-direction is 0.13774 mm and is the largest change because the tensile force is along this direction. This change is positive indicating an extension in the dimension along this direction. Finally, the change in the 3-direction is −0.063085 mm. This change is minus since it indicates a reduction in the dimension along this direction
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