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Course ILTOF03 - Advanced applications of nonlinear crack models

Course ILTOF03 - Advanced applications of nonlinear crack models

course summary (.pdf)

Lecturer: Dr. Ing. Marco PAGGI

short curriculum

Lecturer: Dr. Ing. Simone PUZZI

short curriculum

Important: how to access the online lectures

Topic 1 - lecture 1: Modelling Mode I cohesive crack propagation using the Finite Element Method (Marco PAGGI, 2 h)

The main features and hypotheses of the cohesive crack model for Mode I crack propagation are briefly introduced. Then, the details regarding its implementation in the Finite Element Method are presented. Engineering applications illustrating the ductile-to-brittle size-scale transition in the mechanical behaviour of concrete beams under three-point bending complete the lecture.

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Topic 1 - lecture 2: Advanced applications of the cohesive crack model in Mode Mixity (Marco PAGGI, 2 h)

The mathematical theory for the Mixed Mode formulation of the cohesive crack model and its implementation in the Finite Element Method are briefly introduced. Then, the following engineering applications are presented, in comparison with experimental results: Mixed Mode crack propagation in concrete beams; evaluation of the anchorage bearing capacity in concrete and mortar using pullout tests; study of crack propagation in gravity dams; analysis of stability of delamination in layered beams.

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Topic 2 - lecture 1: Bridged crack model: multiple reinforcements (Simone PUZZI, 2 h)

The mathematical theory of the bridged crack model is revisited in the case of flexural elements with multiple reinforcements. The main features and hypotheses are briefly recalled. Then, the flexural behaviour of reinforced elements is analysed and described in detail. The ductile-to-brittle size-scale transition is evidenced and interpreted.

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Topic 2 - lecture 2: Advanced applications of the bridged crack model (Simone PUZZI, 2 h)

In the first part of the lecture, the model is extended to the case of flexural elements with reinforcements at multiple scales. Then, the behaviour of composite beams subjected to cyclic loading is studied. The combined effects of crack length, brittleness number, and fiber number on the cyclic behavior of the flexural element are described and the dissipation capacity of the reinforced beam is evaluated.

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