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Solid mechanics and its applications
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The article was published on 1990-01-01 and is currently open access. It has received 320 citations till now. The article focuses on the topics: Solid mechanics.read more
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A review of some plasticity and viscoplasticity constitutive theories
TL;DR: In this paper, the main ingredients and assumptions of developing macroscopic inelastic constitutive equations, mainly for metals and low strain cyclic conditions, have been discussed, with some comparisons with the previous ones, including more recent developments that offer potential new capabilities.
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A non-singular continuum theory of dislocations
TL;DR: In this article, a non-singular, self-consistent framework for computing the stress field and the total elastic energy of a general dislocation microstructure was developed, in which the driving force defined as the negative derivative of the total energy with respect to the dislocation position, is equal to the force produced by stress, through the Peach-Koehler formula.
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Fracture spacing in layered rocks: a new explanation based on the stress transition
Taixu Bai,David Pollard +1 more
TL;DR: In this paper, the authors investigated the stress distribution between two adjacent opening-mode fractures as a function of the fracture spacing to layer thickness ratio using a three-layer elastic model with a fractured central layer.
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Athermal mechanisms of size-dependent crystal flow gleaned from three-dimensional discrete dislocation simulations
Satish I. Rao,Dennis M. Dimiduk,Triplicane A. Parthasarathy,Michael D. Uchic,Meijie Tang,Christopher Woodward +5 more
TL;DR: In this paper, the authors used large-scale three-dimensional discrete dislocation simulations (DDS) to explicitly model the deformation behavior of micrometer-scale Ni microcrystals in the size range of 0.5-20μm.
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An implicit level set method for modeling hydraulically driven fractures
TL;DR: In this paper, an implicit level set algorithm is proposed to locate the free boundary for a propagating hydraulic fracture, which exploits the local tip asymptotic behavior, applicable at the computational length scale, in order to locate a free boundary.
References
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Exact solution of the percus-yevick integral equation for hard spheres
TL;DR: In this article, the equation of state and pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres.
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Boundary Elements: An Introductory Course
TL;DR: Boundary concepts are introduced and immediately applied in simple - but useful - computer codes that facilitate the comprehension of boundary elements.
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The theory and properties of randomly disordered crystals and related physical systems
TL;DR: A review of the methods for determining the behavior of solids whose properties vary randomly at the microscopic level, with principal attention to systems having composition variation on a well-defined structure (random "alloys") can be found in this paper.
Book
Introduction to the Theory of Disordered Systems
TL;DR: In this paper, the authors studied the properties of one-dimensional systems and proposed a modified perturbation theory based on the spectrum curvature and the Vicinity of the initial spectrum boundary.
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Bounds and self-consistent estimates for the overall properties of anisotropic composites
TL;DR: In this article, the thermal conductivity of a body containing aligned spheroidal inclusions is discussed as an example including, as limiting cases, bodies containing highlyconducting aligned needles and bodies containing aligned pennyshaped cracks.