The permanent deformation of a cantilever struck transversely at its tip

An analysis is given for the deformation of a cantilever made from a rigid-plastic material struck transversely at its tip by a moving mass. Two special cases are found to be of interest: mass of striker large, and mass of striker small. Experiments were carried out on model mildsteel cantilevers under these two extreme conditions: in the one case the striker was a falling weight, in the other a rifle bullet. The theoretical and experimental results are compared, and it is shown that there is good agreement at points remote from the impact, but that prediction of local damage depends on accurate definition of the conditions of striking.

1984 ◽  
Vol 51 (1) ◽  
pp. 102-106 ◽  
Author(s):  
M. P. White

A cylindrical missile, assumed to be of a rigid-plastic material strikes a nonyielding target normally and end-on. Above a certain (critical) velocity the nose of the missile disintegrates or spatters, and below that velocity the nose flattens to a mushroom form. The contact force decreases with decreasing velocity during impact but experiences a jump as the critical velocity is passed during slowdown. This paper gives a method of calculating the critical velocity and the contact force as function of time, as well as the time variations of the other parameters of the impact process.


2021 ◽  
Vol 58 (2) ◽  
pp. 151-169
Author(s):  
Timur V. Khamdamov ◽  
Mikhail Yu. Voloshin ◽  

In the modern Russian philosophy, discussions about the phenomenon of computer simulations in the scientific research practice of conducting experiments are just beginning to pass the stage of initiation in small interdisciplinary groups studying this new direction for the philosophy of science. At the same time, in Western philosophy by the current moment there have been formed entire directions for the study of computer simulations. Different groups of researchers in different ways form ideas about the basic characteristics of simulations: from skeptical views on their nature, which are of no philosophical interest, to extremely revolutionary attitudes that assign simulations to the main role in the next expected turn of philosophy, comparable in its power to the linguistic turn in early XX century. One of the main controversial issues in Western philosophical thought was the search for relevant criteria and signs of simulations that could create a solid basis for formulating a rigorous definition of this phenomenon. Thus, through the definition, researchers first of all try, on the one hand, to solve the taxonomic problem of the correlation and interconnection of simulations with other types of experiment: natural, laboratory, mental, mathematical. On the other hand, to reveal for philosophy ontological and epistemological foundations of simulations, which carry the potential of new philosophical knowledge. This article is devoted to a brief review of the existing concepts of representatives of Western schools of thought on the phenomenon of computer simulations in the context of the philosophy of science. The structure of the review is built on three basic conceptual directions: 1) definition of the term "computer simulation"; 2) computer simulations as an experiment; 3) the epistemic value of simulations. Such a review can become the subject of discussion for Russian researchers interested in the impact of computer simulations on science and philosophy.


Author(s):  
T X Yu ◽  
W Johnson ◽  
W J Stronge

Shallow spheroidal shell segments have been press formed from rectangular plates by stamping between a die and matching punch that have two degrees of curvature. Experiments on mild steel, copper and aluminium plates that were not clamped in the die have measured the punch force, contact regions and final curvature distribution; and have observed plate buckling for a range of die curvature ratios and plate sizes. An analysis based on a rigid/plastic material idealization and decoupled in-plane forces and bending moments has been correlated with these experiments. The sequence of deformation modes has been identified; initially these are bending but in later stages, in-plane forces predominate.


1974 ◽  
Vol 10 (3) ◽  
pp. 323-326
Author(s):  
I. S. Degtyarev ◽  
V. L. Kolgomorov

1967 ◽  
Vol 34 (2) ◽  
pp. 329-336 ◽  
Author(s):  
G. B. Cline ◽  
W. E. Jahsman

Formulas are derived which describe the dynamic response of a ring of rigid-plastic material which is subjected to an arbitrarily distributed impulse load. When the impulse is distributed over half the ring in a cosine fashion, the final deformation is proportional to the square of the maximum magnitude of the applied impulse. Although the predominant deformation is in a bending or “ovaling” mode, one half of the incident energy is dissipated in the “membrane” or direct stress mode. The remainder is divided equally between bending (plastic work at the hinges) and kinetic energy.


Author(s):  
Young H. Park

In this paper, material processing simulation is carried out using a meshfree method. With the use of a meshfree method, the domain of the workpiece is discretized by a set of particles without using a structured mesh to avoid mesh distortion difficulties which occurred during the course of large plastic deformation. The proposed meshfree method is formulated for rigid-plastic material. This approach uses the flow formulation based on the assumption that elastic effects are insignificant in the metal forming operation. In the rigid-plastic analysis, the main variable of the problem becomes flow velocity rather than displacement. A numerical example is solved to validate the proposed method.


1988 ◽  
Vol 110 (2) ◽  
pp. 124-130 ◽  
Author(s):  
F. Pourboghrat ◽  
K. A. Stelson

A simple model of pressbrake bending in the punch-sheet contact region is presented. The pressure and shear stress at the punch-sheet interface cause the stress distribution in the sheet to change as a function of angle. In Part 1 of this paper, a model to predict nonuniformities as a function of the geometry and the frictional conditions is presented. In Part 2, the model will be used to predict the formation of a gap between the sheet and the punch. Elastic and rigid-plastic material models of the sheet are considered, and are shown to produce remarkably similar results.


Author(s):  
T X Yu ◽  
W Johnson

Based on experiments on the bending of metal strips into cylindrical dies using a semi-circular ended punch (1) a theoretical analysis of this metal forming process is presented to predict the punch load—punch travel characteristic and the clearance between the punch pole and the mid-point of the strip. Elastic/plastic and rigid/plastic material idealizations are employed, and the effect of friction between the strip and the die is also considered. The theoretical predictions show good agreement with the experimental results and are useful for designers.


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