Computational Methods in the Mechanics of Fracture
This volume not only covers the fundamental concepts of fracture mechanics, but also the computational methodologies necessary for practical engineering designs aimed at fracture control. It gives a concise summary of various fracture theories: linear elastic, elastic-plastic, and dynamic fracture mechanics of metals and composites. Novel numerical methods (finite element and boundary element) that enable the treatment of complicated engineering problems are emphasized. Examined are problems of linear elastic fracture of metallic and non-metallic composite materials, three-dimensional problems of surface flaws, elastic-plastic fracture, stable crack growth, and dynamic crack propagation. A comprehensive outline of the energetic approach and energy integrals on fracture mechanics is also given. Contents: Preface. Parts: I. Chapters: 1. Fracture: Mechanics or Art? (F. Erdogan). II. 2. Linear Elastic Fracture Mechanics (A.S. Kobayashi). 3. Elastic-Plastic Fracture (Quasi-Static) (S.N. Atluri and A.S. Kobayashi). 4. Dynamic Crack Propagation in Solids (L.B. Freund). 5. Energetic Approaches and Path-Independent Integrals in Fracture Mechanics (S.N. Atluri). III. 6.
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Mechanics or Art?
Linear elastic fracture mechanics
Elasticplastic fracture quasistatic
9 other sections not shown
A.S. Kobayashi analysis antiplane applied arbitrary assumed asymptotic bending boundary conditions Cartesian considered coordinates corner crack crack element crack front crack growth crack length crack problems crack surface crack-face crack-tip crack-tip parameter crack-tip speed defined deformation deformation theory derived displacement divergence theorem dynamic crack propagation dynamic fracture elastic-plastic fracture elastodynamic elliptical crack energy release rate Engng equations Eshelby evaluated far-field finite element method finite-element fracture mechanics fracture toughness geometric transformation geometry hybrid inelastic infinite solid intensity factors J.R. Rice linear elastic loading material Mech mesh mode-I Nakagaki Nishioka nodal nodes non-linear numerical obtained path-independent integrals plane strain polynomial procedure propagating crack quadrilateral Rayleigh wave S.N. Atluri Section self-similar semi-elliptical surface shape functions shear shown in Fig singular element singular solution specimen stationary crack strain energy stress-intensity factor structural surface crack surface flaws tension theory three-dimensional tractions triangle two-dimensional values variation vector velocity