Inelastic volume deformation, especially dilatancy, and pressure-sensitive yielding are essential features of plastic deformation in geological materials and these do not permit the use of classical elasto-plastic mathematical models. We will give a qualitative description of the ranges of the non-elastic mechanical response of porous or cracked materials, and will discuss idealized constitutive models, the preference for non-associated flow rules, conditions for the localization of deformation, post-shock effects, and pore-fluid coupling in dilatant strengthening and softening.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTLow-temperature growth of the infinite layer phase of strontium copper oxide, SrCuO2, by pulsed laser depositionChunming Niu and Charles M. LieberCite this: J. Am. Chem. Soc. 1992, 114, 9, 3570–3571Publication Date (Print):April 1, 1992Publication History Published online1 May 2002Published inissue 1 April 1992https://doi.org/10.1021/ja00035a070Request reuse permissionsArticle Views308Altmetric-Citations29LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InReddit PDF (314 KB) Get e-AlertscloseSupporting Info (1)»Supporting Information Supporting Information Get e-Alerts
Glaciological observations of under‐flooding suggest that fluid‐induced hydraulic fracture of an ice sheet from its bed sometimes occurs quickly, possibly driven by turbulently flowing water in a broad sheet flow. Taking the approximation of a fully turbulent flow into an elastic ice medium with small fracture toughness, we derive an approximate expression for the crack‐tip speed, opening displacement and pressure profile. We accomplish this by first showing that a Manning‐Strickler channel model for resistance to turbulent flow leads to a mathematical structure somewhat similar to that for resistance to laminar flow of a power law viscous fluid. We then adapt the plane‐strain asymptotic crack solution of Desroches et al. (1994) and the power law self‐similar solution of Adachi and Detournay (2002) for that case to calculate the desired quantities. The speed of crack growth is shown to scale as the overpressure (in excess of ice overburden) to the power 7/6, inversely as ice elastic modulus to the power 2/3, and as the ratio of crack length to wall roughness scale to the power 1/6. We tentatively apply our model by choosing parameter values thought appropriate for a basal crack driven by the rapid drainage of a surface meltwater lake near the margin of the Greenland Ice Sheet. Making various approximations perhaps relevant to this setting, we estimate fluid inflow rate to the basal fracture and vertical and horizontal surface displacements and find order‐of‐magnitude agreement with observations by Das et al. (2008) associated with lake drainage. Finally, we discuss how these preliminary estimates could be improved.
A basic tensile bifurcation problem is studied. Bifurcations from a state of homogeneous inplane tension are investigated for an incompressible rectangular block constrained to undergo plane deformations. The sides of the block are traction-free, and it is elongated by a uniform, shearfree, relative displacement of its ends. For a wide class of incrementally-linear, time-independent materials only two instantaneous moduli enter into the analysis. Symmetric and anti-symmetric bifurcations are examined in each of the characteristic regimes of the governing equations (elliptic, parabolic and hyperbolic). Both diffuse modes and localized shearing modes are considered. Lowest bifurcation stresses are computed for essentially the entire range of possible combinations of material properties and geometry. A number of limiting cases are studied in detail, including those for slender and stubby specimens and for specimens which are rigid in shear. Applications to elastic and elastic/plastic solids are discussed.
The objective of this study was to assess intergenerational mother-daughter patterns of reproduction.In 1966, 12 055 pregnant women in Northern Finland, representing 96% of all births in the region, responded to a questionnaire in mid-gestation. In 1997-98, the 31-year-old daughters born from those pregnancies were sent a questionnaire and 4523 (80%) responded. Reproduction was compared between all mother-daughter pairs (n=4523) and separately for the pairs (n=489) of similar age (mothers 30-32 years).The menarcheal ages of the mothers and their daughters correlated slightly (Spearman correlation coefficient 0.206). The probability of the daughter to be multiparous was higher if her mother was multiparous at the time of the daughter's birth than if she was not. No association in the rate of spontaneous abortions was found. The first pregnancy of the daughters born from unwanted pregnancies was more often unwanted than the first pregnancy of the wanted daughters, after adjusting for parity (P=0.004). The analysis of the age-matched mother-daughter pairs gave similar results.A positive association between mothers and daughters in menarcheal age, parity and desirability of pregnancy was found.