Influence of boundary conditions on the response ofmultilayered plates with cohesive interfaces anddelaminations using a homogenized approach

Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29

Abstract

 Stress and displacement fields in multilayered composites with interfacial imperfections, such asimperfect bonding of the layers or delaminations, or where the plies are separated by thin interlayers allowingrelative motion, have large variations in the thickness, with characteristic zigzag patterns and jumps at the layerinterfaces. These effects are well captured by a model recently formulated by the author for multilayered plateswith imperfect interfaces and affine interfacial traction laws (Massabò & Campi, Meccanica, 2014, in press; ComposStruct, 2014, 116, 311-324). The model defines a homogenized displacement field, which satisfies interfacialcontinuity, and uses a variational technique to derive equilibrium equations depending on only six generalizeddisplacement functions, for any arbitrary numbers of layers and interfaces. The model accurately predictsstresses and displacements in simply supported, highly anisotropic, thick plates with continuous, slidinginterfaces. In this paper the model is applied to wide plates with clamped edges and some inconsistencies, whichhave been noted in the literature for models based on similar approaches and have limited their utilization, areexplained. A generalized transverse shear force is introduced as the gross stress resultant which is directlyrelated to the bending moment in the equilibrium equations of multilayered structures with imperfect interfacesand substitutes for the shear force of single-layer theory. An application to a delaminated wide plate highlightsthe potential and limitations of the proposed model for the solution of fracture mechanics problems.

Authors and Affiliations

R. Massabò

Keywords

Related Articles

 Crack path in liquid metal embrittlement:experiments with steels and modeling

 We review the recent experimental clarification of the fracture path in Liquid Metal Embrittlement with austenitic and martensitic steels. Using state of the art characterization tools (Focused Ion Beam and T...

 Numerical homogenization of piezoelectric textileswith electrospun fibers for energy harvesting

 Piezoelectric effects are exploited in an increasing number of micro- and nano-electro-mechanicalsystems. In particular, energy harvesting devices convert ambient energy (i.e. mechanical pressure) into electricalen...

 Synchrotron 3D characterization of arrested fatigue cracks initiated from small tilted notches in steel

 High resolution synchrotron X-ray tomography has been used to obtain 3D images of arrested cracks initiated at small artificial defects located on the surface of cylindrical steel specimens subjected to mode I fa...

 Estimation of fatigue life of selected construction materials under cyclic loading

 In the literature, there are many criteria of multiaxial fatigue. They are based on various assumptions and parameters describing the process of fatigue. Among them, there is a special group of criteria based on...

 Experimental estimation of the heat energy dissipated in a volume surrounding the tip of a fatigue crack

 Fatigue crack initiation and propagation involve plastic strains that require some work to be done on the material. Most of this irreversible energy is dissipated as heat and consequently the material temperature&...

Download PDF file
  • EP ID EP162821
  • DOI 10.3221/IGF-ESIS.29.20
  • Views 63
  • Downloads 0

How To Cite

R. Massabò (2014).  Influence of boundary conditions on the response ofmultilayered plates with cohesive interfaces anddelaminations using a homogenized approach. Frattura ed Integrità Strutturale, 8(29), 230-240. https://europub.co.uk/articles/-A-162821