Plastic Deformations Near A Rapidly Propagating Crack Tip PDF Download
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| Author | : J. D. Achenbach |
| Publisher | : |
| Total Pages | : 47 |
| Release | : 1984 |
| Genre | : |
| ISBN | : |
Download Plastic Deformations Near a Rapidly Propagating Crack Tip Book in PDF, ePub and Kindle
For rapid crack propagation in an elastic perfectly-plastic material, explicit expressions have been obtained for the dynamic strains on the crack line, from the moving crack tip to the moving elastic-plastic boundary. The method of solution uses power series in the distance to the crack line, with coefficients which depends on the distance to the crack tip. Substitution of the expansions in the equations of motion, the yield condition (Huber-Mises) and the stress-strain relation, yields a system of nonlinear ordinary different equations for the coefficients. These equations are exactly solvable for Mode-III, and they have been solved in an approximate manner for Mode-I plane stress. The crack-line fields have been matched to appropriate elastic fields at the elastic-plastic boundary. For both Mode-III and Mode-I plane stress, the plastic strains, which depend on the elastodynamic stress intensity factor and the crack-tip speed, have been used in conjunction with the crack growth criterion of critical plastic strain, to determine the relation between the far-field stress level and the crack-tip speed. (Author).
| Author | : J. D. Achenbach |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 1979 |
| Genre | : |
| ISBN | : |
Download Near-Tip Plastic Deformations in Dynamic Fracture Mechanics Book in PDF, ePub and Kindle
Under rapid loading conditions and/or for a rapidly propagating crack, the mass density of a material affects the fields of stress and deformation. For such dynamic fracture problems plastic deformation in the immediate vicinity of a crack tip is investigated in this paper. Both stationary and propagating crack tips are considered. For a stationary crack tip, deformation theory is employed for the first phase of the loading when the fields are increasing monotonically with time. The general character of the near-tip fields is analyzed both with respect to its variation with time and with polar angle. The non-linear near-tip fields are related to the linearly elastic far-field by means of a path-independent integral. In the second part of the paper we consider rapidly propagating cracks. We discuss the near-tip fields for various models of material behavior. In particularly we briefly review some earlier work by Achenbach and Kanninen for a rapidly propagating Mode-III crack, in a material which displays strain hardening. In the last part of the paper we consider the fields near a rapidly propagating crack-tip in an elastic-perfectly plastic material for the case that inertial terms are of importance. The system of governing equations in the plastic region is presented and shown to be hyperbolic in nature. As a first approximation the steady-state case with respect to the moving crack-tip is considered and an asymptotic analysis of the near-tip field is carried out. (Author).
| Author | : J. D. Achenbach |
| Publisher | : |
| Total Pages | : 37 |
| Release | : 1980 |
| Genre | : |
| ISBN | : |
Download Fields Near a Rapidly Propagating Crack Tip in an Elastic Perfectly-Plastic Material Book in PDF, ePub and Kindle
Dynamic effects are investigated for the steady-state fields of stress and deformation in theee immediate vicinity of a rapidly propagating crack tip in an elastic perfectly-plastic material. Both the cases of anti-plane strain and in-plane strain have been considered. The governing equations in the plastic regions are hyperbolic in nature. Simple wave solutions together with uniform fields provide explicit asymptotic expressions for the stresses and the strains in the near-tip regions. The dynamic solutions describe a region of plastic loading which completely surrounds the propagating crack tip. (Author).
| Author | : International Union of Theoretical and Applied Mechanics |
| Publisher | : Cambridge University Press |
| Total Pages | : 670 |
| Release | : 1985-02-07 |
| Genre | : Science |
| ISBN | : 9780521267359 |
Download Fundamentals of Deformation and Fracture Book in PDF, ePub and Kindle
An international survey of work in the field of deformation and fracture, first published in 1985.
| Author | : K. Bertram Broberg |
| Publisher | : Elsevier |
| Total Pages | : 771 |
| Release | : 1999-02-24 |
| Genre | : Technology & Engineering |
| ISBN | : 0080503276 |
Download Cracks and Fracture Book in PDF, ePub and Kindle
Cracks and Fracture consists of nine chapters in logical sequence. In two introductory chapters, physical processes in the vicinity of the crack edge are discussed and the fracture process is described. Chapter 3 develops general basic concepts and relations in crack mechanics, such as path independent integrals, stress intensity factors and energy flux into the crack edge region. Chapters 4-7 deal with elastostatic cracks, stationary or slowly moving elastic-plastic cracks, elastodynamic crack mechanics and elastoplastic aspects of fracture, including dynamic fracture mechanics. Appendices include general formulae, the basic theory of analytic functions, introduction to Laplace and Hankel transforms and description of certain basic relations, for instance for stress waves in solids. There is an extensive bibliography, containing references to both classical and recent work, and a comprehensive index. Presents an extensive bibliography containing references to both classical and recent works and a comprehensive index Appendices include general formulas, the basic theory of analytic functions, introduction to Laplace and Hankel transforms, and descriptions of certain basic relations, for instance for stress waves in solids
| Author | : V. Dunayevsky |
| Publisher | : |
| Total Pages | : 24 |
| Release | : 1980 |
| Genre | : |
| ISBN | : |
Download Boundary Layer Phenomena in the Plastic Zone Near a Rapidly Propagating Crack Tip Book in PDF, ePub and Kindle
The steady-state dynamic fields near a rapidly propagating crack tip in an elastic perfectly-plastic material have been investigated for the case of Mode-III fracture. For arbitrary values of the dimensionless crack-tip speed (M) the inner solution consists of a central-fan field ahead of the crack tip and a uniform field in its wake. It is shown that the inner solution is valid in a 'boundary layer' which shrinks on the crack tip in the limit of vanishing M. For small M the outer solution was found as a regular perturbation expansion in M, with the quasi-static solution as its first term. A uniform expansion over the polar angle omega measured from the plane of the crack was also obtained; its first term displays the connection between the inner and outer solutions. (Author).
| Author | : |
| Publisher | : |
| Total Pages | : 1278 |
| Release | : 1984 |
| Genre | : Aeronautics |
| ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, ePub and Kindle
| Author | : |
| Publisher | : |
| Total Pages | : 228 |
| Release | : 1979 |
| Genre | : |
| ISBN | : |
Download NONLINEAR AND DYNAMIC FRACTURE MECHANICS Book in PDF, ePub and Kindle
| Author | : M.L. Williams |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 187 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 940095123X |
Download Dynamic fracture Book in PDF, ePub and Kindle
From time to time the International Journal of Fracture has presented matters thought to be of special interest to its readers. In previous special issues (December 1980 and April 1981), Dr H.W. Liu as Guest Editor presented a series of review papers dealing with fatigue processes and characteristics in metals and non-metals. Continuing this policy, which is consistent with our stated objectives, a second review dealing with time depen dence in the fracture process, including the effect of material inertia but essentially excluding very strong shock effects in solids, has been assembled under the generic term "dynamic fracture". We hope that the ensuing state-of-the-art review will yield an instructive and timely product which readers will find useful. To assist us in presenting this subject, we have prevailed upon a well-known worker in dynamic fracture, Dr W.G. Knauss, Professor of Aeronautics and Applied Mechanics, California Institute of Technology to act as Guest Editor for this special double issue. On behalf of the editors and publisher, I wish to express our indebtedness to Professor Knauss and his invited authors for undertaking this special effort.
| Author | : J. D. Achenbach |
| Publisher | : |
| Total Pages | : 25 |
| Release | : 1978 |
| Genre | : |
| ISBN | : |
Download Crack Tip Plasticity in Dynamic Fracture Mechanics Book in PDF, ePub and Kindle
The objective of this work is to develop a procedure by which crack tip plasticity can be taken directly into account in rapid crack propagation. To set the stage, a background description of linear elastic dynamic fracture mechanics is first given. Existing solutions for dynamic crack propagation and for quasistatic crack growth accompanied by crack tip plasticity are reviewed. It is found that existing dynamic plastic fracture solutions are essentially confined to strip yield (Dugdale model) plastic zones that are collinear with the crack. The ultimate goal of the research reported in this paper is to provide the basis of a computational procedure for plastic dynamic crack propagation in structures of engineering interest. The prerequisite for such a development is knowledge of the nature of the crack tip singularity, which can be obtained via an asymptotic analysis in which attention is focused on the very near crack tip region. Here we have considered the specific case of crack propagation in antiplane strain (Mode III). The results suggest some interesting general conclusions, and the analysis has pointed the way to the solution of the Mode I problem.
