Cohesive Interaction
Prepared by
Prof. Dr. Ibrahim M. Metwally
Concrete Structures Research Institute
Housing & Building National Research Center,
87, El-Tahrir St., Dokki, Giza 11511-P.O. Box: 1770 Cairo, Egypt.
Emails : ibrahimhbrc@gmail.com &
dr_ibrahimmetwally@yahoo.com
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Cohesive Surface
1) Define Interaction Property
Press create interaction property
Choose: contact & continue
2) Define Cohesive Behaviour
Mechanical ------Cohesive Behaviour
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Bilinear Traction Separation Constitutive Curve
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K nn
tc t epoxy
Ec E epoxy
tc = Concrete thickness, mm Usually, take tc = 5 mm
tepoxy = Epoxy or adhesive thickness, mm Usually, take tepoxy = 1 mm
Ec = Young's modulus of concrete, MPa
Eepoxy = Young's modulus of adhesive, MPa
The approximate value of Knn = 1700
Gepoxy
K ss K tt 1000(0.16 0.47)
t epoxy
Gepoxy = Shear modulus of epoxy or adhesive in GPa, Usually, take
Gepoxy = 0.665 GPa
tepoxy = Epoxy or adhesive thickness, mm Usually, take tepoxy = 1 mm
OR
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K ss K t t
tc t epoxy
Gc Gepoxy
Gc = Shear modulus of concrete in MPa Usually, take Gc= 10800 MPa
Gepoxy = Shear modulus of epoxy or adhesive in MPa Usually, take
Gepoxy= 665 MPa
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3) Define Damage of the Interface
Mechanical ------Damage
Initiation
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To Calculate these stresses as follows:
Normal Only = Tensile strength of concrete (fct)= 0.33 f c MPa
Shear-1 Only = Shear-2 Only = max
max 1.46Gepoxy 0.165 f ct1.033
Gepoxy= Epoxy or adhesive shear modulus in GPa Usually, take Gepoxy=
0.665 GPa
fct = Tensile strength of concrete, MPa
OR
bf bf
max 1.5 f ct 2.25
/ 1.25
bc bc
bf = FRP plate width, mm
bc = Concrete width, mm
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Evolution
Normal Fracture Energy = 0.09 mJ/mm2
1st Shear Fracture Energy = 2nd Shear Fracture Energy range from 0.3 to
1.5 mJ/mm2 . Usually take = 0.9 mJ/mm2
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4) Create Interaction
Press Create Interaction
Select Master & Slave Surfaces as follows:
Master surface is the surface of the material which has
biggest Young's modulus, is FRP sheet.
Slave surface is the surface of the material which has
lowest Young's modulus, is concrete
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