A Study of Indentation Energy in Three Points Bending of Sandwich beams with Composite Laminated Faces and Foam Core
This paper deals with analysis of flexural stiffness,
indentation and their energies in three point loading of sandwich
beams with composite faces from Eglass/epoxy and cores from
Polyurethane or PVC. Energy is consumed in three stages of
indentation in laminated beam, indentation of sandwich beam and
bending of sandwich beam. Theory of elasticity is chosen to present
equations for indentation of laminated beam, then these equations
have been corrected to offer better results. An analytical model has
been used assuming an elastic-perfectly plastic compressive behavior
of the foam core. Classical theory of beam is used to describe three
point bending. Finite element (FE) analysis of static indentation
sandwich beams is performed using the FE code ABAQUS. The
foam core is modeled using the crushable foam material model and
response of the foam core is experimentally characterized in uniaxial
compression.
Three point bending and indentation have been done
experimentally in two cases of low velocity and higher velocity
(quasi-impact) of loading. Results can describe response of beam in
terms of core and faces thicknesses, core material, indentor diameter,
energy absorbed, and length of plastic area in the testing. The
experimental results are in good agreement with the analytical and
FE analyses. These results can be used as an introduction for impact
loading and energy absorbing of sandwich structures.
[1] Timoshenko, S.P. , Goodier.J.N, Theory of Elasticity, Mc Graw- Hill,
NewYork,1970.
[2] Willis.J.R, Hertzian contact of anisotropic bodies, J.Mech. Phys Solids,
Vol 14, 1966, pp.163-176
[3] S.H. Yang, C.T. Sun, Indentation Law for composite laminates,
Composite Materials ASTM .(Sixth conferences), 1982, pp. 435-449.
[4] Enboa Wu, Ching-Shih Yen, The Contact Behavior Between Laminated
Composite Plates and Rigid Spheres , Applied Mech, Vol 61, 1994,
pp.60-64.
[5] Christoforou.A.P. On the contact of a spherical indenter and a thin
composite laminate, J. Composite structures, Vol 26, 1993, pp.77-82.
[6] Abrate S. Localized impact on sandwich structures with laminated
facings , Appl Mech Rev, Vol 50, No.2, .1985 pp.69-82.
[7] Soden P. Indentation of composite sandwich beams, J. Strain Analysis,
Vol 31,No.5 , 1996, pp. 353-360.
[8] Shuaeib FM, Soden PD. Indentation failure of composite sandwich
beams. Compos Sci Technol; Vol 57, 1997, pp 1249-59.
[9] Dan Zenkert, Andrey Shipsha, and Karl Person, Static indentation and
unloading response of sandwich beams, Composites, Part B, 2004, Vol.
33, pp. 511-522.
[10] Mijia Yang, Pizhong Qiao . Nonlinear impact analysis of fully backed
composite sandwich structures, Composites Science and Technology ,
Vol. 65, 2005, pp. 551-562.
[11] Md. Akil Hazizian, Wj. Cantwell. "The Low velocity impact response of
foam-based sandwich structures. Composites, Part B, Vol 33. 2002,
pp.193-204.
[12] Allen HG Analysis and design of structural sandwich panels , Pergamon
Press, London, 1969.
[13] Annual book of ASTM standards.
[1] Timoshenko, S.P. , Goodier.J.N, Theory of Elasticity, Mc Graw- Hill,
NewYork,1970.
[2] Willis.J.R, Hertzian contact of anisotropic bodies, J.Mech. Phys Solids,
Vol 14, 1966, pp.163-176
[3] S.H. Yang, C.T. Sun, Indentation Law for composite laminates,
Composite Materials ASTM .(Sixth conferences), 1982, pp. 435-449.
[4] Enboa Wu, Ching-Shih Yen, The Contact Behavior Between Laminated
Composite Plates and Rigid Spheres , Applied Mech, Vol 61, 1994,
pp.60-64.
[5] Christoforou.A.P. On the contact of a spherical indenter and a thin
composite laminate, J. Composite structures, Vol 26, 1993, pp.77-82.
[6] Abrate S. Localized impact on sandwich structures with laminated
facings , Appl Mech Rev, Vol 50, No.2, .1985 pp.69-82.
[7] Soden P. Indentation of composite sandwich beams, J. Strain Analysis,
Vol 31,No.5 , 1996, pp. 353-360.
[8] Shuaeib FM, Soden PD. Indentation failure of composite sandwich
beams. Compos Sci Technol; Vol 57, 1997, pp 1249-59.
[9] Dan Zenkert, Andrey Shipsha, and Karl Person, Static indentation and
unloading response of sandwich beams, Composites, Part B, 2004, Vol.
33, pp. 511-522.
[10] Mijia Yang, Pizhong Qiao . Nonlinear impact analysis of fully backed
composite sandwich structures, Composites Science and Technology ,
Vol. 65, 2005, pp. 551-562.
[11] Md. Akil Hazizian, Wj. Cantwell. "The Low velocity impact response of
foam-based sandwich structures. Composites, Part B, Vol 33. 2002,
pp.193-204.
[12] Allen HG Analysis and design of structural sandwich panels , Pergamon
Press, London, 1969.
[13] Annual book of ASTM standards.
@article{"International Journal of Architectural, Civil and Construction Sciences:55143", author = "M. Sadighi and H. Pouriayevali and M. Saadati", title = "A Study of Indentation Energy in Three Points Bending of Sandwich beams with Composite Laminated Faces and Foam Core", abstract = "This paper deals with analysis of flexural stiffness,
indentation and their energies in three point loading of sandwich
beams with composite faces from Eglass/epoxy and cores from
Polyurethane or PVC. Energy is consumed in three stages of
indentation in laminated beam, indentation of sandwich beam and
bending of sandwich beam. Theory of elasticity is chosen to present
equations for indentation of laminated beam, then these equations
have been corrected to offer better results. An analytical model has
been used assuming an elastic-perfectly plastic compressive behavior
of the foam core. Classical theory of beam is used to describe three
point bending. Finite element (FE) analysis of static indentation
sandwich beams is performed using the FE code ABAQUS. The
foam core is modeled using the crushable foam material model and
response of the foam core is experimentally characterized in uniaxial
compression.
Three point bending and indentation have been done
experimentally in two cases of low velocity and higher velocity
(quasi-impact) of loading. Results can describe response of beam in
terms of core and faces thicknesses, core material, indentor diameter,
energy absorbed, and length of plastic area in the testing. The
experimental results are in good agreement with the analytical and
FE analyses. These results can be used as an introduction for impact
loading and energy absorbing of sandwich structures.", keywords = "Three point Bending, Indentation, Foams,Composite laminated beam, Sandwich beams, Finite element", volume = "1", number = "12", pages = "120-7", }