Book ChapterDOI
Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics
J. D. Eshelby
- pp 82-119
TLDR
In this paper, the authors define a force acting on each element of a mobile interface (a phase boundary or martensitic interface, for example) and define the crack extension force of fracture mechanics.Abstract:
The force on a dislocation or point defect, as understood in solid-state physics, and the crack extension force of fracture mechanics are examples of quantities which measure the rate at which the total energy of a physical system varies as some kind of departure from uniformity within it changes its configuration One may define similarly a force acting on each element of a mobile interface (a phase boundary or martensitic interface, for example)read more
Citations
More filters
Book
Thin Film Materials: Stress, Defect Formation and Surface Evolution
L. B. Freund,Subra Suresh +1 more
TL;DR: The role of stress in mass transport is discussed in this article, where the authors consider anisotropic and patterned films, buckling, bulging, peeling and fracture.
Journal ArticleDOI
Mechanical properties of nanostructure of biological materials
Baohua Ji,Huajian Gao +1 more
TL;DR: In this paper, the authors investigated the mechanics of protein-mineral nanocomposite structure and found that large aspect ratios and a staggered alignment of mineral platelets are the key factors contributing to the large stiffness of biomaterials.
Journal ArticleDOI
Variational time integrators
TL;DR: In this paper, the authors review and further develop the subject of variational integration algorithms as it applies to mechanical systems of engineering interest, and present selected numerical examples which demonstrate the excellent accuracy, conservation and convergence characteristics of AVIs.
Journal ArticleDOI
Partition of unity enrichment for bimaterial interface cracks
TL;DR: Partition of unity enrichment techniques are developed for bimaterial interface cracks in this article, where a discontinuous function and the two-dimensional near-tip asymptotic displacement functions are added to the finite element approximation using the framework of partition of unity.
Journal ArticleDOI
An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions
M. Gosz,Brian Moran +1 more
TL;DR: In this paper, a new interaction energy integral method for extracting mixed-mode stress intensity factors along the fronts of non-planar, three-dimensional cracks is described, where interaction energy contour integrals are defined and expressed in domain form.
References
More filters
Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Journal ArticleDOI
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
TL;DR: In this paper, an integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials.
Journal ArticleDOI
Yielding of steel sheets containing slits
TL;DR: In this article, a relation between extent of plastic yielding and external load applied was investigated, and panels containing internal and edge slits were loaded in tension and lengths of plastic zones were measured.