Peridynamics for Laminated Composite Materials

  • Erdogan Madenci
  • Erkan Oterkus


Fiber-reinforced laminated composites are generally constructed by bonding unidirectional laminae in a particular sequence. Each lamina has its own material properties and thickness. As shown in Fig. 5.1, the fiber orientation angle, \( \theta \), is defined with respect to a reference axis, \( x \). Fiber direction is commonly aligned with the \( {x_1}- \) axis, and transverse direction is aligned with the \( {x_2}- \) axis. A unidirectional lamina is specially orthotropic. Thus, a thin lamina has four independent material constants of elastic modulus in the fiber direction, \( {E_{11 }} \), elastic modulus in the transverse direction, \( {E_{22 }}, \) in-plane shear modulus, \( {G_{12 }} \), and in-plane Poisson’s ratio, \( {\nu_{12 }} \).


Transverse Direction Material Point Strain Energy Density Fiber Direction Transverse Shear Deformation 
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  1. Oterkus E, Madenci E (2012) Peridynamic analysis of fiber reinforced composite materials. J Mech Mater Struct 7(1):45–84CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Erdogan Madenci
    • 1
  • Erkan Oterkus
    • 2
  1. 1.Department of Aerospace and Mechanical EngineeringUniversity of ArizonaTucsonUSA
  2. 2.Naval Architecture and Marine EngineeringUniversity of StrathclydeGlasgowUK

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