Heterogeneity, microstructural surface effects and internal length estimation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Recently, the concept of state of degradation has been employed by the author in order to study the effect of initial material (structure) inhomogeneity and the implications of surface (skin) effects on brittle material response. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Here, symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation. This paper summarizes the previous work of the author and co-workers, presents the results of symbolic computations of an instability problem, and interprets the results with respect to material length estimation.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherPubl by ASME
Pages51-66
Number of pages16
Volume135
StatePublished - 1992
EventASME Summer Mechanics and Materials Conferences - Tempe, AZ, USA
Duration: Apr 28 1992May 1 1992

Other

OtherASME Summer Mechanics and Materials Conferences
CityTempe, AZ, USA
Period4/28/925/1/92

Fingerprint

Skin effect
Brittleness
Random variables
Degradation

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Frantziskonis, G. N. (1992). Heterogeneity, microstructural surface effects and internal length estimation. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (Vol. 135, pp. 51-66). Publ by ASME.

Heterogeneity, microstructural surface effects and internal length estimation. / Frantziskonis, George N.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 135 Publ by ASME, 1992. p. 51-66.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Frantziskonis, GN 1992, Heterogeneity, microstructural surface effects and internal length estimation. in American Society of Mechanical Engineers, Applied Mechanics Division, AMD. vol. 135, Publ by ASME, pp. 51-66, ASME Summer Mechanics and Materials Conferences, Tempe, AZ, USA, 4/28/92.
Frantziskonis GN. Heterogeneity, microstructural surface effects and internal length estimation. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 135. Publ by ASME. 1992. p. 51-66
Frantziskonis, George N. / Heterogeneity, microstructural surface effects and internal length estimation. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 135 Publ by ASME, 1992. pp. 51-66
@inproceedings{1166d4c7d6f14631a17f85e854391aff,
title = "Heterogeneity, microstructural surface effects and internal length estimation",
abstract = "Recently, the concept of state of degradation has been employed by the author in order to study the effect of initial material (structure) inhomogeneity and the implications of surface (skin) effects on brittle material response. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Here, symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation. This paper summarizes the previous work of the author and co-workers, presents the results of symbolic computations of an instability problem, and interprets the results with respect to material length estimation.",
author = "Frantziskonis, {George N}",
year = "1992",
language = "English (US)",
volume = "135",
pages = "51--66",
booktitle = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",
publisher = "Publ by ASME",

}

TY - GEN

T1 - Heterogeneity, microstructural surface effects and internal length estimation

AU - Frantziskonis, George N

PY - 1992

Y1 - 1992

N2 - Recently, the concept of state of degradation has been employed by the author in order to study the effect of initial material (structure) inhomogeneity and the implications of surface (skin) effects on brittle material response. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Here, symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation. This paper summarizes the previous work of the author and co-workers, presents the results of symbolic computations of an instability problem, and interprets the results with respect to material length estimation.

AB - Recently, the concept of state of degradation has been employed by the author in order to study the effect of initial material (structure) inhomogeneity and the implications of surface (skin) effects on brittle material response. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Here, symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation. This paper summarizes the previous work of the author and co-workers, presents the results of symbolic computations of an instability problem, and interprets the results with respect to material length estimation.

UR - http://www.scopus.com/inward/record.url?scp=0026436361&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026436361&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026436361

VL - 135

SP - 51

EP - 66

BT - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

PB - Publ by ASME

ER -