<i>Elasticity in Engineering</i>

Sechler, E. E.; Brown, William Fuller

doi:10.1063/1.3061516

Cited by 25 publications

(16 citation statements)

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“…Here we consider radial flow and a uniformly distributed pressure across the bed, as this provides the minimum value for the radius of uplift. This approach utilizes a plate stiffness factor (D) which, following Sechler [1952], we calculate as…”

Section: Uplift Of the Glaciermentioning

confidence: 99%

Air compression as a mechanism for the underdamped slug test response in fractured glacier ice

et al. 2008

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[1] Artificial perturbations of borehole water levels, known as slug tests, are a useful means of characterizing the glacier hydrologic system. Slug tests were performed on Bench Glacier, Alaska, in 21 boreholes over three field seasons during the transition from a winter to a summer drainage mode. Fifty-four slug tests were conducted, with water level monitoring in up to five boreholes adjacent to the slugged borehole. Seven of the slug tests were performed in conjunction with dye dispersion tests to identify water pathways within the slugged borehole following perturbation. Nearly 60% of monitored adjacent boreholes showed a hydraulic connection to the slugged borehole via the glacier bed. The nature and degree of connectivity was temporally variable, suggesting that the drainage network at the bed was highly dynamic on a daily timescale and spatial scale of tens of meters. The variability of slug test responses over time and space limit the feasibility of six alternative explanations for the oscillatory water level behavior characteristic of the underdamped response. We propose a seventh, that is, that coherent air packages are a reasonable means of producing the compliance needed to generate the underdamped slug test responses on Bench Glacier, and that these air packages may exist within the glacier at the tips of subglacially propagated fractures.

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Section: Uplift Of the Glaciermentioning

confidence: 99%

Air compression as a mechanism for the underdamped slug test response in fractured glacier ice

et al. 2008

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“…Namely, for a fixed change in phase as the measurement path is increased the strain sensitivity will also increase. (8) Unfortunately, this scaling of the strain sensitivity with the distance has a price. These fibers have other limitations that are not found in their electrical cousins.…”

Section: Fiber-optic Differential Displacement Gagementioning

confidence: 99%

A precision six-load-component transducer: A design incorporating finite-length measurement paths

Washabaugh

1993

Experimental Mechanics

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ABSTRACT--The design of an instrument is described that measures three resultant force components and three resultant moment components acting on a surface. Within the framework of linear elastostatics of an isotropic homogeneous material the device separates to a given precision the six resultant load components. Sensor paths of finite length are employed. Moreover if fiber-optic differential displacement sensors are used rather than traditional electrical resistance strain gages, the range and sensitivity of the instrument can in principle be improved without sacrificing the device stiffness. The primary reason for these improvements is that a complete solution to the equations of elasticity allows certain displacements to be measured over large distances and be combined to yield all of the resultant load components. These displacement measurements over a long distance accommodates the use of fiber-optic interferometric sensors, The use of optical sensors in contrast with electrical-resistance gages, has the potential to allow the measurement precision and range to scale with the geometry of the device rather than the maximum strain in the instrument. It becomes possible by virtue of these features to produce a better instrument.

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“…The local stress and strain vectors for the ith adherend,ˆi σ and ˆi ε , contain only the axial compenents of stress/strain in the x-direction, ˆi (18) where the adherend centerline displacements are a collection of centerline displacement vectors for each adherend layer given as (19) and the centerline displacement vector of adherend i is given as , , (23) Furthermore, since the deflections in the local, rotated coordinate system are considered small, the shape functions, N , derived for the linearly elastic case are used [7][8][9] . Using the shape functions for the linear case, the local strain and displacements in the rotated coordinate system are related by the equation  ε Bq (24) where B is defined as B = GN .…”

Section: Local Coordinate Systemmentioning

confidence: 99%

“…is not insignificant, placing the adhesive in a state of triaxial stress 19 . Using these assumtpions and linear elasticity, the extensional stress in the adhesive, ˆx ai  , can be written in terms of the peel strain:…”

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confidence: 99%

Corotational Formulation for Bonded Joint Finite Elements

Stapleton¹,

Waas²,

Arnold³

et al. 2014

AIAA Journal

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Enhanced finite elements are elements with an embedded analytical solution that can capture detailed local fields, enabling more efficient mesh independent finite element analysis. In earlier research, this method was applied to adhesively bonded joints. The adherends were modeled as composite Euler-Bernoulli beams, and the adhesive layer was modeled as a bed of linear shear and normal springs. The field equations were derived using the principle of minimum potential energy, and the resulting solutions for the displacement fields were used to generate shape functions and a stiffness matrix for a single bonded joint finite element. In this study, the capability to model large rotations and non-linear adhesive constitutive behavior is developed, and progressive failure of the adhesive is modeled by remeshing the joint as the adhesive fails. The results obtained using this enhanced joint element is compared with experimental results.

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Elasticity in Engineering

Cited by 25 publications

References 0 publications

Air compression as a mechanism for the underdamped slug test response in fractured glacier ice

Air compression as a mechanism for the underdamped slug test response in fractured glacier ice

A precision six-load-component transducer: A design incorporating finite-length measurement paths

Corotational Formulation for Bonded Joint Finite Elements

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