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TECHNICAL PAPER


           FRACTURE MECHANICS AS


           THE BASIS FOR STRUCTURAL


           DESIGN OF FIBRE AND TEXTILE


           REINFORCED CONCRETE                                                                     RAVINDRA GETTU*








           Abstract                                               explanation of strain-softening in concrete. Though considerable
                                                                  work was dedicated to the study of the fracture process, size
           Fibre and textile reinforced concretes are composites with   effect of failure, modelling through finite element analysis and
           cementitious matrices and reinforcement in the form of discrete   criteria for crack propagation in concrete , little impact was
                                                                                                  [1]
           fibres or yarns. Since the matrices are brittle and defect sensitive,   made on actual application, other than understanding the
           which may also be the case for some reinforcements such as   mechanisms or principles that governed these phenomena. The
           glass and basalt, the behaviour is evidently governed by fracture   main reasons for not being able to apply fracture mechanics
           mechanics. The review presented here discusses relevant   directly in the design of concrete structures are that the
           developments, specifically at Indian Institute of Technology   tensile response of concrete is largely ignored and that the
           (IIT) Madras, related to these two materials with the objective   presence of the ubiquitous reinforcement negates most of
           of characterising them in a rational manner, so as to improve   the fracture related response of concrete. However, important
           the performance and structural design. The main highlight of   developments based on fracture mechanics followed in the
           the work has been the development of testing methods and   areas of fiber reinforced concrete, in which case cracking occurs
           models to represent the post-crack response of the composite,   in a controlled manner and the tensile response can be used
           such that this could be the input in the engineering of better   advantageously in structural design.
           materials and for structural design. Key research contributions
           arising from the work have been reviewed, including the use of   Substantial work has been carried at IIT Madras for more than
           interface finite elements to represent the cracking; development   two decades on fibre reinforced cementitious composites where
           of a toughness test method that led to the IS: 17161, slab and   fracture mechanics principles have been the bases for modelling
           pavement design methods, the inverse analysis procedure for   the response and formulating rational structural design.
           determining the tensile constitutive relationship, fatigue and   Additionally, an important objective of the trajectory has been to
           creep responses of fiber reinforced concrete; and the uniaxial   promote analysis and design for field applications. Some of the
           tensile test method, including appropriate specimen fabrication   relevant research outcomes are reviewed here with the intention
           and end conditions, the transition in the stress-strain response   of showing the evolution and the breadth of the work done,
           from softening to trilinear to bilinear, efficiency factors, size   and the references covered should be taken as illustrations of
           effects in the tensile response, durability criteria for design, and   the application of fracture mechanics. The paper is meant to be
           degradation mechanisms of textile reinforced concrete. For   the author’s perspective on institutional research on the topics
           both types of composites, pilot projects, mostly novel in the   covered, with an emphasis on scientific developments, and not a
           Indian context, have been undertaken based on the research   comprehensive or critical review.
           outcomes, with many of these currently being in service on the
           IIT Madras campus.                                     2.  FRACTURE MECHANICS BASED ANALYSIS
                                                                  OF NON-PLANAR CRACKING
           1.  INTRODUCTION
                                                                  Cracking in concrete structures and many other cases is mostly
           Fracture mechanics is the science of appropriately representing   non-planar, which poses questions in fracture mechanics based
           and modelling the growth of cracks in a solid. Significant   analysis as to (1) whether the crack propagation is in mixed-
           effort focused on the fracture mechanics of concrete from the   mode (i.e., opening and sliding) or in pure Mode 1 (opening
           early 1980s onwards and was a very popular research topic   or tensile mode) and how to represent the crack as it develops
           for a couple of decades, along with the characterization and   and propagates. Such situations arise in the diagonal shear


        42    THE INDIAN CONCRETE JOURNAL | FEBRUARY 2026
                                                                      * Corresponding author: Ravindra Gettu, Email: gettu@iitm.ac.in
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