## A general partial discretization methodology for interlaminar stress computation in composite laminates.(English)Zbl 1184.74076

Summary: A two-point boundary value problem (BVP) is formed in the present work governed by a set of first-order coupled ordinary differential equations (ODEs) in terms of displacements and the transverse stresses through the thickness of laminate (in domain $$-h/2 <z <h/2$$) by introducing partial discretization methodology only in the plan area of the three dimensional (3D) laminate. The primary dependent variables in the ODEs are those which occur naturally on a plane $$z=a$$ constant. An effective numerical integration (NI) technique is utilized for tackling the two-point BVP in an efficient manner. Numerical studies on cross-ply and angle-ply composite plates are performed and presented, involving both validation and solution of new problems.

### MSC:

 74S30 Other numerical methods in solid mechanics (MSC2010) 74E30 Composite and mixture properties