A rotating smeared crack approach in Sequentially Linear Analysis using the Elastic-brittle fraction model

Sequentially Linear Analysis (SLA), an event-by-event solution strategy in which a sequence of scaled linear analyses with decreasing secant stiffness is performed, representing local damage increments; robust alternative to nonlinear finite element analysis quasi-brittle structures. Since it based on fixed smeared crack constitutive model, severe spurious stresses and inaccuracies may develop due misalignment the principal stress directions. To this end, elastic-brittle fraction model was conceived. The separates continuum into several parallel fractions or layers, each different properties, chosen order represent overall softening behaviour as accurately possible. main idea mimick rotating by superposition fractions, direction. In article, presented for both 2-dimensional 3-dimensional frameworks, general transition from any saw-tooth law material properties. models are then validated compared against SLA: using single structural case studies. It shown that able leads lesser cracks narrower localisation bands, turn results more flexible post-peak response over all studies model.