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S. G. Lekhnit︠s︡kiĭ

Bio: S. G. Lekhnit︠s︡kiĭ is an academic researcher. The author has contributed to research in topics: Elasticity (physics) & Linear elasticity. The author has an hindex of 1, co-authored 1 publications receiving 2288 citations.

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Book ChapterDOI
TL;DR: In this article, the authors describe the mixed mode cracking in layered materials and elaborates some of the basic results on the characterization of crack tip fields and on the specification of interface toughness, showing that cracks in brittle, isotropic, homogeneous materials propagate such that pure mode I conditions are maintained at the crack tip.
Abstract: Publisher Summary This chapter describes the mixed mode cracking in layered materials. There is ample experimental evidence that cracks in brittle, isotropic, homogeneous materials propagate such that pure mode I conditions are maintained at the crack tip. An unloaded crack subsequently subject to a combination of modes I and II will initiate growth by kinking in such a direction that the advancing tip is in mode I. The chapter also elaborates some of the basic results on the characterization of crack tip fields and on the specification of interface toughness. The competition between crack advance within the interface and kinking out of the interface depends on the relative toughness of the interface to that of the adjoining material. The interface stress intensity factors play precisely the same role as their counterparts in elastic fracture mechanics for homogeneous, isotropic solids. When an interface between a bimaterial system is actually a very thin layer of a third phase, the details of the cracking morphology in the thin interface layer can also play a role in determining the mixed mode toughness. The elasticity solutions for cracks in multilayers are also elaborated.

3,828 citations

Journal ArticleDOI
TL;DR: The structure-mechanical relations at each of the hierarchical levels of organization are reviewed, highlighting wherever possible both underlying strategies and gaps in the authors' knowledge.
Abstract: ▪ Abstract The term bone refers to a family of materials, all of which are built up of mineralized collagen fibrils. They have highly complex structures, described in terms of up to 7 hierarchical levels of organization. These materials have evolved to fulfill a variety of mechanical functions, for which the structures are presumably fine-tuned. Matching structure to function is a challenge. Here we review the structure-mechanical relations at each of the hierarchical levels of organization, highlighting wherever possible both underlying strategies and gaps in our knowledge. The insights gained from the study of these fascinating materials are not only important biologically, but may well provide novel ideas that can be applied to the design of synthetic materials.

2,573 citations

Book
09 Oct 1998
TL;DR: This poster presents a probabilistic procedure for estimating the mechanical properties of bone based on known mechanisms, including compressive forces, compressive strength, and the compressive properties of Bone.
Abstract: Forces in Joints, Skeletal Biology, Analysis of Bone Remodeling, Mechanical Properties of Bone, Fatigue and Fracture Resistance of Bone, Mechanical Adaptation of the Skeleton, Synovial Joint Mechanics, Mechanical Properties of Ligament and Tendon

1,246 citations

Journal ArticleDOI
TL;DR: In this paper, a displacement-pressure (up) finite element formulation for the geometrically and materially nonlinear analysis of compressible and almost incompressible solids is proposed.

439 citations

Journal ArticleDOI
TL;DR: In this paper, the effect of anisotropy on the analysis of over-coring measurements with cells similar to the CSIR Triaxial Strain Cell is discussed, and the authors show how to account for both anisotropic (intact and joint induced) and the curvature of the Earth when estimating in situ stresses in rock masses.

398 citations