me 582 f06 - chapter 5 failure analysis and design of laminates part 1
TRANSCRIPT
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
ME 582 Advanced Materials Science
Chapter 5 Failure, Analysis, and Design of Laminates(Part 1)
Dr. Jan GouComposite Materials Research Laboratory
Department of Mechanical EngineeringUniversity of South Alabama, Mobile, AL 36688
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
HW #6
5.1 5.12
Due Day: 6:00 PM, 10/25/2006, Wednesday.
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Symmetric Laminates
Symmetric laminate: for every ply above the laminate midplane, there is an identical ply (material and orientation) an equal distance below the midplane
[B] = 0
The force and moment are uncoupled
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Cross-Ply Laminates
Cross-ply laminate: composed of plies of either 0 or 90 (no other ply orientation)
A16= 0, A26= 0 B16=0, B26= 0 D16= 0, D26= 0
Uncoupling occurs between the normal and shear forces as well as between the bending and twisting moments
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Angle Ply Laminates
Angle-ply laminate: has plies of the same material and thickness and only oriented at + and - directions If the laminate has an even number of plies, then A16= 0, A26= 0 If the number of plies is odd and it consists of alternating + and - plies, then it is symmetric, giving [B] =0, and A16, A26, D16, and D26 becomes small.
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Antisymmetric Laminates
Antisymmetric laminate: the material and thickness of the plies are the same above and below the midplane, but the ply orientation at the same distance above and below the midplane are negative of each other.
A16= 0, A26= 0 D16=0, D26=0
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Balanced Laminates
Balanced laminate: for every ply at a + orientation, there is another ply at the orientation somewhere in the laminate. The plus and minus pairs do not need to be adjacent to each other.
A16=A26 =0
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Isotropic Materials
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Quansi-Isotropic Laminates
Quansi-isotropic laminate: produced using at least three different ply orientations, all with equal angles between them.
Exhitbit isotropic extensional stiffness properties A11=A22A16=A26=0A66 = (A11-A12)/2The stiffnesses are independent of the angle of rotation of the laminate
[B] and [D] may not behave like isotropic materials. (Quansi-isotropic, not isotropic!)
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Responses of Special Laminates
Balanced, unsymetric laminateTensile loading produces twisting curvature Ex: [+/0/- ]T
Symmetric, unbalanced laminateTensile loading produces in-plane shearing Ex: [+/0/+ ]T
Unsymmetric cross-ply laminateTensile loading produces bending curvatures Ex: [0/90]T
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Responses of Special Laminates
Balanced and symmetric laminateTensile loading produces extension Ex: [+/- ] s
Quasi-isotropic laminateTensile loading produces extension loading, independent of angle
Ex: [+60/0/-60] s and [-45/0/+45/90]s
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Example 5.1
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.1
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.1
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.1
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.1
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.1
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Degradation of Stiffness and Strength
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Analysis Procedures
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Example 5.3
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
Local stress at 0, top
Local strain at 0, top
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
Tsai-Wu Failure Theory:
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
Maximum Strain Failure Theory:
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
First Ply Failure:
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
Degradation of [Q]:
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
Failure Analysis:
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.3
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Example 5.4
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
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ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4
Tsai-Wu Failure Criteria:
ME 582 Advanced Materials Science Department of Mechanical Engineering Dr. Jan Gou
Solution to Example 5.4