A numerical approach for limit analysis of orthotropic composite laminates

Abstract

SUMMARYA numerical approach for limit analysis of structures whose constituent material exhibits orthotropic behaviour is presented and discussed. Attention is focused on orthotropic composite laminates under plane stress conditions. The proposed approach is an extension, in the context of orthotropic materials, of the linear matching method (LMM). The latter is based on a sequence of linear analyses performed on the analysed structure made of a fictitious linear viscous material with spatially varying moduli. Here the LMM is applied to structures made of materials obeying the Tsai-Wu criterion. An appropriate choice of the fictitious material, which in this case is assumed linear, viscous, orthotropic and suffering a distribution of assigned initial stresses, reduces the number of parameters to be spatially varied thus rendering the whole procedure applicable and reliable. The results obtained are highly promising as witnessed by a number of numerical examples which are carried out to verify the effectiveness of the proposed approach.

A kinematic approach for peak load evaluation of concrete elements

“…The Linear Matching Method (LMM) was then recently extended with success to orthotropic composite materials by Pisano and Co-workers (see e.g. Pisano and Fuschi [52]; Pisano and Fuschi [53]; Pisano et al [54]) with reference to a Tsai-Wu-type constitutive criterion.…”

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

“…[16][17][18][19] for the ground section of the column 1 (see Fig. 14), two different views of S H detected by the SRA (blue domain) and the stress vertexes of P H (red dots), are plotted for different values of N r .…”

“…The availability of high optimized IPM solvers, such as MOSEK [12], makes this approach interesting. Alternative specialized formulations to evaluate the shakedown safety factors in a FE context of analysis, have also been proposed in [13][14][15][16][17][18][19].…”

Mechanically fastened joints in composite laminates: Evaluation of load bearing capacity

“…The proposed numerical approach, refer to Fuschi et al [22] and Pisano and Fuschi [42] for its kinematic version, can be viewed as an extension, in the context of orthotropic materials, of a method known in the relevant literature as Linear Matching Method (LMM), see e.g. Ponter and Carter [43]; Ponter et al [44]; Chen et al [14]; Barrera et al [6].…”