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Book On the Energy Release Rate for Dynamic Transient Anti Plane Shear Crack Propagation in a General Linear Viscoelastic Body

Download or read book On the Energy Release Rate for Dynamic Transient Anti Plane Shear Crack Propagation in a General Linear Viscoelastic Body written by J. M. Herrmann and published by . This book was released on 1987 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of a semi-infinite mode III crack that suddenly begins to propagate at a constant speed is considered for a general linear viscoelastic body. Simple closed form expressions are derived for the Laplace transform of the stress, displacement, and stress intensity factor. A Barenblatt type failure zone is assumed to exist at the crack tip and an expression for the total energy flux into the failure zone per unit crack advance, G(t), is derived. The short time asymptotic form of G is constructed and the rate at which it converges to its steady-state limit is studied. It is shown that the rate of convergence to steady-state is dependent upon crack speed and material properties. (jes).

Book Crack and Contact Problems for Viscoelastic Bodies

Download or read book Crack and Contact Problems for Viscoelastic Bodies written by G.A.C. Graham and published by Springer. This book was released on 2014-05-04 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main emphasis of these Lecture Notes is on constructing solutions to specific viscoelastic boundary value problems; however properties of the equations of viscoelasticity that provide the theoretical underpinnings for constructing such solutions are also covered. Particular attention is paid to the solution of crack and contact problems. This work is of interest in the context of polymer fracture, modelling of material behaviour, rebound testing of polymers and the phenomenon of hysteretic friction.

Book The Dynamic Steady State Propagation of an Anti Plane Shear Crack in a General Linearly Viscoelastic Layer

Download or read book The Dynamic Steady State Propagation of an Anti Plane Shear Crack in a General Linearly Viscoelastic Layer written by J. R. Walton and published by . This book was released on 1984 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a previous paper, the dynamic, steady-state propagation of an semi-infinite anti-plane shear crack was considered for an infinite, general linearly viscoelastic body. Under the assumptions that the shear modulus is a positive, non-increasing continuous and convex function of time, convenient, closed-from expressions were derived for the stress intensity factor and for the entire stress distribution ahead of and in the plane of the advancing crack. The solution was shown to have a simple universal dependence upon the shear modulus and crack speed from which qualitative information can readily be gleaned. Here, the corresponding problem for a general, linearly viscoelastic layer is solved. An infinite series representation for the stress intensity factor is derived, each term of which can be calculated recursively in closed-form. As before, a simple universal dependence upon crack speed and material properties is exhibited. (Author).

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dynamic  Steady State Crack Propagation in Linear Isotropic Viscoelastic Material

Download or read book Dynamic Steady State Crack Propagation in Linear Isotropic Viscoelastic Material written by J. R. Walton and published by . This book was released on 1983 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is a summary of results of some recent analytical studies of dynamic, steady-state crack propagation in linear viscoelastic material. Closed form solutions are presented for the problems of a semi-infinite, anti-plane shear crack propagating with constant speed in an infinite general linear viscoelastic body and in a layer of finite thickness. For both boundary value problems, and for a general class of shear modulus, the solutions obtained exhibit a universal structure that depends in a simple way upon the time dependent shear modulus and crack speed. The forms for the solutions are convenient for the extraction of qualitative and quantitative information about the dependence of the stress field in the body upon the loading, the crack speed and the shear modulus. (Author).

Book Journal of Applied Mechanics

Download or read book Journal of Applied Mechanics written by and published by . This book was released on with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Dynamic Energy Release Rate for a Steadily Propagating Anti Plane Shear Crack in a Linearly Viscoelastic Body

Download or read book The Dynamic Energy Release Rate for a Steadily Propagating Anti Plane Shear Crack in a Linearly Viscoelastic Body written by Jay R. Walton and published by . This book was released on 1986 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The steady-state propagation of a semi-infinte, anti-plane shear crack is reconsidered for a general, infinite, homogeneous and isotropic linearly viscoelastic body. As with an earlier study, the inertial term in the equation of motion is retained and the shear modulus is only assumed to be positive, continuous, decreasing and convex. A Barenblatt type failure zone is introduced in order to cancel the singular stress, and a numerically convenient expansion for the dynamic Energy Release Rate (ERR) is derived for a rather general class of crack face loadings. The ERR is shown to have a complicated dependence on crack speed material properties with significant qualitative differences between viscoelastic and elastic material. The results are illustrated with numerical calculations for both power-law material and a standard linear solid. Keywords: Crack Growth; Fracture Mechanics; Dynamic Fracture.

Book Applied mechanics reviews

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Technical Reports Awareness Circular   TRAC

Download or read book Technical Reports Awareness Circular TRAC written by and published by . This book was released on 1988-04 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1990 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Reviews

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Government Reports Announcements   Index

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1989 with total page 1176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Government reports annual index

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Aerospace Abstracts

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1997 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dynamic Growth of an Antiplane Shear Crack in a Rate Sensitive Elastic Plastic Material

Download or read book Dynamic Growth of an Antiplane Shear Crack in a Rate Sensitive Elastic Plastic Material written by LB. Freund and published by . This book was released on 1983 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical study of the dynamic steady-state antiplane shear (Mode III) crack growth process is described. The study is based on continuum mechanics, and the material is modeled as being elastic-viscoplastic. Using the small-scale yielding concept of fracture mechanics and allowing only for steady-state crack growth, but including the effects of material inertia explicitly, a full-field solution for the deformations is obtained by means of an iteration procedure involving the finite-element method. Numerical results for the strain distribution in the active plastic zone are presented. The fracture criterion for materials which fail in a locally ductile manner proposed by McClintock and Irwin [1],3 which stipulates that crack growth will proceed such that a critical strain level is maintained at a characteristic distance ahead of the crack tip, is adopted. This criterion is coupled with the results of numerical calculations to develop theoretical dynamic fracture toughness versus crack tip speed relationships for two levels of critical strain. For rate-dependent materials a range of toughness-versus-speed relations is manifested, ranging from that similar to rate-independent materials for low rate sensitivity to a relationship which rises dramatically for even a small increase in crack speed at low crack speeds, but which levels off for higher speeds for extremely rate-sensitive materials.