TL;DR: Geiger and Marsden as mentioned in this paper showed that the probability of a pencil of α particles being deflected through 90 degrees is vanishingly small and that the distribution of the α particles for various angles of large deflexion does not follow the probability law to be expected.
Abstract: § 1. It is well known that the α and the β particles suffer deflexions from their rectilinear paths by encounters with atoms of matter. This scattering is far more marked for the β than for the α particle on account of the much smaller momentum and energy of the former particle. There seems to be no doubt that such swiftly moving particles pass through the atoms in their path, and that the deflexions observed are due to the strong electric field traversed within the atomic system. It has generally been supposed that the scattering of a pencil of α or β rays in passing through a thin plate of matter is the result of a multitude of small scatterings by the atoms of matter traversed. The observations, however, of Geiger and Marsden** on the scattering of α rays indicate that some of the α particles, about 1 in 20,000 were turned through an average angle of 90 degrees in passing though a layer of gold-foil about 0.00004 cm. thick, which was equivalent in stopping-power of the α particle to 1.6 millimetres of air. Geiger*** showed later that the most probable angle of deflexion for a pencil of α particles being deflected through 90 degrees is vanishingly small. In addition, it will be seen later that the distribution of the α particles for various angles of large deflexion does not follow the probability law to be expected if such large deflexion are made up of a large number of small deviations. It seems reasonable to suppose that the deflexion through a large angle is due to a single atomic encounter, for the chance of a second encounter of a kind to produce a large deflexion must in most cases be exceedingly small. A simple calculation shows that the atom must be a seat of an intense electric field in order to produce such a large deflexion at a single encounter.
TL;DR: In this paper, a procedure based on three point bend size effect tests on notched specimens is presented, where complete load deflection curves are used for the identification of the constitutive relations.
Abstract: The calibration of nonlocal models which contain an internal length has been among the major issues conditioning the implementation of this kind of failure models. Direct calibration from uniaxial testing, where the state of strain remains homogeneous throughout the specimen, is impossible. The softening law is not directly accessible because the strains cannot remain homogeneous during the entire test. In the absence of local information on the displacement field and on micro cracking in the fracture process zone, the calibration has to rely on inverse analysis. This paper presents such a procedure based on three point bend size effect tests on notched specimens. The complete load deflection curves are used for the identification of the constitutive relations. Manual calibration is discussed first. It is emphasised that calibration on the load deflexion curve from a single experiment is not objective. We show that Bazant's size effect law, which is related to peak loads only, may serve as a helpful guide to reach the closest fit. Then, automatic calibration is described. An optimal set of model parameters can be obtained within a reasonable number of iterations.
TL;DR: A theoretical condition for deflexion of Griffith crack meeting a plane perpendicular interface in a thick plate of uniform elastic properties was derived in this paper, which suggests that a short crack should be diverted along the interface when R ad co /4π(1 − V 2 )
Abstract: A theoretical condition has been derived for deflexion of a Griffith crack meeting a plane perpendicular interface in a thick plate of uniform elastic properties. The theory suggests that a short crack should be diverted along the interface when R ad co /4π(1 — V 2 ),
TL;DR: In this paper, general expressions for the large-deflexion relations between bending moment, torque, longitudinal and twisting curvature for initially curved strips of lenticular and constant thickness section are derived.
Abstract: General expressions are derived for the large-deflexion relations between bending moment, torque, longitudinal and twisting curvature for initially curved strips of lenticular and constant thickness section. Particular attention is paid to the behaviour under pure moment and pure torque and it is shown that the presence of initial curvatures can introduce some novel forms of instability.
TL;DR: The post-critical regime of straight-sided wrinkles on compliant substrates of polycarbonate has been observed by atomic force microscope and investigated by means of finite element simulations as mentioned in this paper.