scholarly journals A refined model of viscoelastic-plastic deformation of flexible plates with spatial reinforcement structures

2020 ◽  
Vol 13 (1) ◽  
pp. 5-22
Author(s):  
A.P. Yankovskii
Author(s):  
А.А. Родионов ◽  
Е.А. Карпенко

В статье рассматривается один из аспектов ударного взаимодействия сталкивающихся объектов, который может реализовываться при экстремальных и аварийных ситуациях с судами и морскими инженерными сооружениями. Решается задача об ударе деформируемого цилиндрического стержня об абсолютно жесткую преграду. Построены уравнения для моделей удара, основанные на подходе Г. Тейлора и уравнениях динамики упругопластического стержня, учтены изменения поперечных сечений кругового цилиндра в процессе пластического деформирования. Разработаны алгоритмы расчета упругопластического деформирования круговых цилиндров для исследования динамического процесса удара об абсолютно жесткую преграду. Результаты расчетных исследований по рассматриваемым моделям сопоставляются между собой и сравниваются с имеющимися экспериментальными данными. Проанализированы конечные формы пластического деформирования цилиндров. Предложенная уточненная модель Г. Тейлора дает результаты, которые близки результатам решения уравнений динамики упругопластических стержней при ударе, а также хорошо согласуются с экспериментальными данными. The article considers one of the aspects of impact interaction of colliding objects, which can be implemented in extreme and emergency situations with ships and offshore structures. The problem of impact of deformable cylindrical rod against absolutely rigid barrier is solved. Equations for impact models are built based on the approach of G. Taylor and the equations of the dynamics of the elastoplastic rod, changes in the cross sections of the circular cylinder during plastic deformation are taken into account. Algorithms have been developed for calculating elastoplastic deformation of cylindrical rod to study the dynamic process of impact on an absolutely rigid barrier. The results of the calculated studies on the models in question are compared with each other and compared with the available experimental data. Final modes of plastic deformation of cylinders are analyzed. The proposed refined model of G. Taylor gives results that are close to the results of solving the equations of dynamics of elastoplastic rods during impact, and are also well consistent with experimental data.


Author(s):  
J. Temple Black

There are two types of edge defects common to glass knives as typically prepared for microtomy purposes: 1) striations and 2) edge chipping. The former is a function of the free breaking process while edge chipping results from usage or bumping of the edge. Because glass has no well defined planes in its structure, it should be highly resistant to plastic deformation of any sort, including tensile loading. In practice, prevention of microscopic surface flaws is impossible. The surface flaws produce stress concentrations so that tensile strengths in glass are typically 10-20 kpsi and vary only slightly with composition. If glass can be kept in compression, wherein failure is literally unknown (1), it will remain intact for long periods of time. Forces acting on the tool in microtomy produce a resultant force that acts to keep the edge in compression.


Author(s):  
L. Andrew Staehelin

Freeze-etched membranes usually appear as relatively smooth surfaces covered with numerous small particles and a few small holes (Fig. 1). In 1966 Branton (1“) suggested that these surfaces represent split inner mem¬brane faces and not true external membrane surfaces. His theory has now gained wide acceptance partly due to new information obtained from double replicas of freeze-cleaved specimens (2,3) and from freeze-etch experi¬ments with surface labeled membranes (4). While theses studies have fur¬ther substantiated the basic idea of membrane splitting and have shown clearly which membrane faces are complementary to each other, they have left the question open, why the replicated membrane faces usually exhibit con¬siderably fewer holes than particles. According to Branton's theory the number of holes should on the average equal the number of particles. The absence of these holes can be explained in either of two ways: a) it is possible that no holes are formed during the cleaving process e.g. due to plastic deformation (5); b) holes may arise during the cleaving process but remain undetected because of inadequate replication and microscope techniques.


Author(s):  
J. Temple Black

The output of the ultramicrotomy process with its high strain levels is dependent upon the input, ie., the nature of the material being machined. Apart from the geometrical constraints offered by the rake and clearance faces of the tool, each material is free to deform in whatever manner necessary to satisfy its material structure and interatomic constraints. Noncrystalline materials appear to survive the process undamaged when observed in the TEM. As has been demonstrated however microtomed plastics do in fact suffer damage to the top and bottom surfaces of the section regardless of the sharpness of the cutting edge or the tool material. The energy required to seperate the section from the block is not easily propogated through the section because the material is amorphous in nature and has no preferred crystalline planes upon which defects can move large distances to relieve the applied stress. Thus, the cutting stresses are supported elastically in the internal or bulk and plastically in the surfaces. The elastic strain can be recovered while the plastic strain is not reversible and will remain in the section after cutting is complete.


Author(s):  
J. Temple Black ◽  
William G. Boldosser

Ultramicrotomy produces plastic deformation in the surfaces of microtomed TEM specimens which can not generally be observed unless special preparations are made. In this study, a typical biological composite of tissue (infundibular thoracic attachment) infiltrated in the normal manner with an embedding epoxy resin (Epon 812 in a 60/40 mixture) was microtomed with glass and diamond knives, both with 45 degree body angle. Sectioning was done in Portor Blum Mt-2 and Mt-1 microtomes. Sections were collected on formvar coated grids so that both the top side and the bottom side of the sections could be examined. Sections were then placed in a vacuum evaporator and self-shadowed with carbon. Some were chromium shadowed at a 30 degree angle. The sections were then examined in a Phillips 300 TEM at 60kv.Carbon coating (C) or carbon coating with chrom shadowing (C-Ch) makes in effect, single stage replicas of the surfaces of the sections and thus allows the damage in the surfaces to be observable in the TEM. Figure 1 (see key to figures) shows the bottom side of a diamond knife section, carbon self-shadowed and chrom shadowed perpendicular to the cutting direction. Very fine knife marks and surface damage can be observed.


Author(s):  
M.A. Mogilevsky ◽  
L.S. Bushnev

Single crystals of Al were loaded by 15 to 40 GPa shock waves at 77 K with a pulse duration of 1.0 to 0.5 μs and a residual deformation of ∼1%. The analysis of deformation structure peculiarities allows the deformation history to be re-established.After a 20 to 40 GPa loading the dislocation density in the recovered samples was about 1010 cm-2. By measuring the thickness of the 40 GPa shock front in Al, a plastic deformation velocity of 1.07 x 108 s-1 is obtained, from where the moving dislocation density at the front is 7 x 1010 cm-2. A very small part of dislocations moves during the whole time of compression, i.e. a total dislocation density at the front must be in excess of this value by one or two orders. Consequently, due to extremely high stresses, at the front there exists a very unstable structure which is rearranged later with a noticeable decrease in dislocation density.


Sign in / Sign up

Export Citation Format

Share Document