Crack Analysis in Structural Concrete: Theory and Applications

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    8 - Concrete Contribution to Shear Strength

    Seller assumes all responsibility for this listing. Item specifics Condition: Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitions - opens in a new window or tab Read more about the condition. About this product. Zihai Shi uses his extensive research experience to present detailed examination of multiple-crack analysis and mixed-mode fracture. Compared with other mature engineering disciplines, fracture mechanics of concrete is still a developing field with extensive new research and development.

    In recent years many different models and applications have been proposed for crack analysis; the author assesses these in turn, identifying their limitations and offering a detailed treatment of those which have been proved to be robust by comprehensive use.

    After introducing stress singularity in numerical modelling and some basic modelling techniques, the Extended Fictitious Crack Model EFCM for multiple-crack analysis is explained with numerical application examples. This theoretical model is then applied to study two important issues in fracture mechanics - crack interaction and localization, and fracture modes and maximum loads. The EFCM is then reformulated to include the shear transfer mechanism on crack surfaces and the method is used to study experimental problems. With a carefully balanced mixture of theory, experiment and application, Crack Analysis in Structural Concrete is an important contribution to this fast-developing field of structural analysis in concrete.

    Latest theoretical models analysed and tested Detailed assessment of multiple crack analysis and multi-mode fractures Applications designed for solving real-life engineering problems. Shipping and handling. The seller has not specified a shipping method to Germany.

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    Learn more. Return policy. Refer to eBay Return policy for more details. You are covered by the eBay Money Back Guarantee if you receive an item that is not as described in the listing. For example, LEFM permits infinite stress at crack tip. This makes no sense in real analysis of concrete where the stress at crack tip is fixed. And LEFM fails to calculate stress at crack tip precisely. So we need some other ways to find out what is stress at crack tip and distribution stress near crack tip. In LEFMPA, during cracking, no specific region is mentioned in between the area which is cracked and that which is not.

    But it is evident that in concrete, there is some intermediate space between cracked and uncracked portion. FPZ consists of micro cracks which are minute individual cracks situated nearer to crack tip. As the crack propagates these micro cracks merge and becomes a single structure to give continuity to the already existing crack.

    So indeed, FPZ acts as a bridging zone between cracked region and uncracked region. Analysis of this zone deserves special notice because it is very helpful to predict the propagation of crack and ultimate failure in concrete. In steel ductile FPZ is very small and therefore strain hardening dominates over strain softening. Also due to small FPZ, crack tip can easily be distinguished from uncracked metal.

    Crack Analysis in Structural Concrete: Theory and Applications by Zihai Shi

    And in ductile materials FPZ is a yielding zone. And cohesive pressure still remains in the region. So strain softening is prevalent in this region. Due to the presence of comparatively large FPZ, locating a precise crack tip is not possible in concrete. If we plot stress Pascal vs.

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    The behaviour of concrete and steel can be compared to understand the difference in their fracture characteristics. For this a strain controlled loading of un-notched specimen of each materials can be done. From the observations we can draw these conclusions: [3]. Fracture energy is defined as the energy required to open unit area of crack surface.

    It is a material property and does not depend on size of structure. This can be well understood from the definition that it is defined for a unit area and thus influence of size is removed. Fracture energy can be expressed as the sum of surface creation energy and surface separation energy. Fracture energy found to be increasing as we approach crack tip. Fracture energy is a function of displacement and not strain. Fracture energy deserves prime role in determining ultimate stress at crack tip. In Finite Element Method analysis of concrete, if mesh size is varied, then entire result varies according to it.

    This is called mesh size dependence. If mesh size is higher, then the structure can withstand more stress. But such results obtained from FEM analysis contradict real case.

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    In classical Fracture Mechanics, critical stress value is considered as a material property. So it is same for a particular material of any shape and size. But in practice, it is observed that, in some materials like plain concrete size has a strong influence on critical stress value. This clearly proves that material size and even the component size like aggregate size can influence cracking of concrete.

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    Because of the heterogeneous nature of concrete, it responds to already existing crack testing models "anomaly". And it is evident that alteration of existing models was required to answer the unique fracture mechanics characteristics of concrete. The main drawback of both these models was negligence of concept of fracture energy.