Nonlinear crack models for nonmetallic materials
In this volume a survey of the most relevant nonlinear crack models is provided, with the purpose of analyzing the nonlinear mechanical effects occurring at the tip of macrocracks in quasi-brittle materials - such as concrete, rocks, ceramics, polymers, high-strength metallic alloys - and in brittle-matrix fibre-reinforced composites. Such local effects, as, for example, plastic deformation, yielding, strain-hardening, strain-softening, mechanical damage, matrix microcracking, aggregate debonding, fibre bridging, fibre slippage, crazing, and so on, are properly described through different simplified models, representing the peculiarities of the phenomena involved. The models are introduced and described separately and then compared in the last part of the book. This volume will be of interest to students, professionals and researchers in the field of nonlinear fracture mechanics.
39 pages matching finite element in this book
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The MicrocrackInteracting Model by A Brencich
Comparisons and Conclusions by A Carpinteri R Massabb
analysis applied behaviour Boundary Element Boundary Element Method bridged-crack model bridging law bridging mechanisms brittle-matrix composite brittleness number Carpinteri ceramic characterized closing tractions cohesive law cohesive-crack model composite material computed condition considered constitutive flexural relationship crack depth crack faces crack growth crack interaction crack length crack opening displacement crack propagation crack trajectory curves damage defined deflection displacement discontinuities ductile effect elastic modulus Engineering Fracture Mechanics equation experimental fiber fiber-reinforced fictitious crack Figure finite element fracture energy fracture process fracture toughness function geometry global increases instability LEFM linear elastic load macroscopic main crack tip matrix fracture toughness maximum mesh microcrack Mixed Mode nonlinear notch obtained plastic Politecnico di Torino problem process zone ratio reinforced concrete shear shielding shown in Fig size-scale snap-back softening Solids specimen strain energy density stress field stress-intensity factor superposition principle tensile strength tensile stress tests theoretical three-point bending Valente