Stress waves in solids

Kolsky, H.

doi:10.1016/0022-460x(64)90008-2

Cited by 278 publications

(197 citation statements)

References 36 publications

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“…The calculated velocity of the wave, v, together with material mass density of the sample, gives access to the elastic constants (Kolsky 1953;Carcione 2001). Because the ultrasonic wavelength l, l = v/f , is a measure for the loading of the structure (l ≈ L in figure 1), the mechanical properties are related to an RVE with characteristic length l. Respective experimental results are documented for bar-shaped specimens (Liu 1998) and cylindrical samples (de With et al 1981), see table 4 and figures 4 and 5.…”

Section: (C) Biomaterial-specific Porosities-experimental Set Iiamentioning

confidence: 99%

The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials

Fritsch

Hellmich

Dormieux

2010

Phil. Trans. R. Soc. A.

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The successful design of ceramic bone biomaterials is challenged by two competing requirements: on the one hand, such materials need to be stiff and strong, which would suggest a low porosity (of pore sizes in the 10-100 mm range) to be targeted; on the other hand, bone biomaterials need to be bioactive (in particular vascularized), which suggests a high porosity of such materials. Conclusively, reliable information on how porosity drives the stiffness and strength properties of ceramic bone biomaterials (tissue engineering scaffolds) is of great interest. In this context, mathematical models are increasingly being introduced into the field. Recently, self-consistent continuum micromechanics formulations have turned out as expressedly efficient and reliable tools to predict hydroxyapatite biomaterials' stiffness and strength, as a function of the biomaterialspecific porosity, and of the 'universal' properties of the individual hydroxyapatite crystals: their stiffness, strength and shape. However, the precise crystal shape can be suitably approximated by specific ellipsoidal shapes: while it was shown earlier that spherical shapes do not lead to satisfactory results, and that acicular shapes are an appropriate choice, we here concentrate on disc-type crystal shape as, besides needles, plates are often reported in micrographs of hydroxyapatite biomaterials. Discbased model predictions of a substantial set of experimental data on stiffness and strength of hydroxyapatite biomaterials almost attain the quality of the very satisfactory needle-based models. This suggests that, as long as the crystal shape is clearly nonspherical, its precise shape is of secondary importance if stiffness and strength of hydroxyapatite biomaterials are predicted on the basis of continuum micromechanics, from their micromorphology and porosity.

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Section: (C) Biomaterial-specific Porosities-experimental Set Iiamentioning

confidence: 99%

The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials

Fritsch

Hellmich

Dormieux

2010

Phil. Trans. R. Soc. A.

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“…Theory of measurements [32] The stress versus strain response of the specimen is determined from the strain gauge readings on the incident and transmitter bars as follows. From one-dimensional theory of elastic wave propagation, the axial displacement u(t) at time t is related to the axial strain history (t) by u"c R dt , (A.1)…”

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confidence: 99%

High strain rate compressive behaviour of aluminium alloy foams

Deshpande

Fleck

2000

International Journal of Impact Engineering

551

266

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The high strain rate compressive behaviour of two cellular aluminium alloys (Alulight and Duocel) has been investigated using the split Hopkinson pressure bar and direct impact tests. It is found that the dynamic behaviour of these foams is very similar to their quasi-static behaviour. The plateau stress is almost insensitive to strain rate, for strain rates up to 5000 s\ . Deformation is localised in weak bands in the Alulight foam but is spatially uniform for the Duocel foam, over the full range of strain rates 10\ s\ ) )5000 s\ .

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“…The second example is the bar impact problem of Kolsky [33]. The simulations employ a linear isothermal equation of state…”

Section: Example Simulationsmentioning

confidence: 99%

A kernel free particle‐finite element method for hypervelocity impact simulation

Park

Fahrenthold

2005

Numerical Meth Engineering

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Stress waves in solids

Cited by 278 publications

References 36 publications

The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials

The role of disc-type crystal shape for micromechanical predictions of elasticity and strength of hydroxyapatite biomaterials

High strain rate compressive behaviour of aluminium alloy foams

A kernel free particle‐finite element method for hypervelocity impact simulation

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