Conforming finite elements with embedded strong discontinuities

The possibility of embedding strong discontinuities into finite elements allowed the simulation of different problems, namely, brickwork masonry fracture, dynamic fracture, failure in finite strain problems and simulation of reinforcement concrete members. However, despite the significant contributions to this field, a general embedded...

Generalization of non-iterative numerical methods for damage-plastic behaviour modeling

Modelling fracture in concrete or masonry is known to be problematic regarding the robustness of iterative solution procedures and, the use of non-iterative methods (or that minimize the use of iterations) in quasi-brittle materials is now under strong development, due to the necessity to obtain effective results in finite element analysis [1, 2...

A generalized discrete strong discontinuity approach

Several local embedded discontinuity formulations have already been developed, in which constant strain triangles and constant jumps are adopted. However, these formulations lead to jump and traction discontinuity across element boundaries and stress locking effects. Herein, a new contribution to embedded strong discontinuities is given. A...

Numerical modelling of the shear strength between concrete layers

Some of the most used strengthening techniques for reinforced concrete structures include the increase of existing cross-sections. The monolithic behaviour of the strengthened elements depends basically on the interface between the substrate and the new concrete layer. A complete numerical model capable of dealing with the composite response of...

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

In this paper, three different approaches used to model strong discontinuities are studied: a new strong embedded discontinuity technique, designated as the discrete strong embedded discontinuity approach (DSDA), introduced in Dias-da-Costa et al. (Eng Fract Mech 76(9):1176–1201, 2009); the generalized finite element method, (GFEM), developed by...

A non-iterative approach for the modelling of quasi-brittle materials