| Subscript #i
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Subscript #1 and #2 are adherends and #3 is adhesive. |
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Di, Ei, Gi, hi
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Flexural rigidity, elastic modulus, shear modulus, thickness of member #i. |
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Flexural compliance of the bonded structure. |
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M±il, N±il, Q±il
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Moment, sectional stretching force, sectional shear force applied on adherend #i at x = ±l. |
| l |
Half-length of the bonded structure. |
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α, β
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Characteristic parameters of a bonded structure in peeling, shearing. |
| αi |
Coefficient of thermal expansion of adherend #i. |
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εT, ε±Nl, ε±Ml
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Differential strain between adherends #2 and #1 at x = ±l due to temperature and edge stretching; effective bending strain due to edge bending at x = ±l. |
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κ
±il
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Edge curvature of adherend #i at x = ±l. |
| κsi, κs |
Shear compliance of member #i, of the bonded structure between the centroid planes of adherends #1 and #2. |
| λxi, λx |
x-compliance of adherend #i, of the bonded structure. |
| λxθ |
Additional x-compliance of the bonded structure attributed to its flexural deformation. |
| λzi, λz |
z-compliance of member #i, of the bonded structure between the centroid planes of adherends #1 and #2. |
| θi |
Rotation of the centroid axis of adherend #i (due to bending). |
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σm(x), σa(x) |
Mean, amplitude of variation, of transverse stress along the thickness of the adhesive (or between the bonded interfaces). |
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σp(x) |
Peeling stress along the bonded interfaces. |
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τ(x) |
Shear stress within the adhesive (and along the interfaces). |
| ΔT
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Temperature change. |
| Basic formulas |
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; . |
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(plane stress); . |
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