H-measures for splitting particles

被引：1

作者：

Leo, PH ^{[1
]}

Müller, S

机构：

[1] Univ Minnesota, Dept Aerosp Engn & Mech, Minneapolis, MN 55455 USA

[2] Max Planck Inst Math Sci, Leipzig, Germany

来源：

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING | 1999年 / 7卷 / 06期

关键词：

D O I：

10.1088/0965-0393/7/6/303

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The elastic energy of a sequence of splitting particles is computed in the limit of infinite splitting. The calculation combines the mathematical tool of H-measures with a calculation of Khachaturyan et al for the elastic energy of cuboidal particles, doublers and octets. In the infinite splitting limit, the elastic energy of particles that split in one spatial dimension (a sequence of plates) decreases monotonically with particle separation, while the elastic energy of particles that split in all three dimensions (a sequence of cubes) exhibits a minimum at a particular interparticle separation.

引用

页码：939 / 948

页数：10

共 50 条

[21] H-Distributions: An Extension of H-Measures to an Lp-Lq Setting
Antonic, Nenad
Mitrovic, Darko
ABSTRACT AND APPLIED ANALYSIS, 2011,
[22] Mathematical tools for studying oscillations and concentrations: from YOUNG measures to H-measures and their variants
Tartar, L
MULTISCALE PROBLEMS IN SCIENCE AND TECHNOLOGY: CHALLENGES TO MATHEMATICAL ANALYSIS AND PERSPECTIVES, 2002, : 1 - +
[23] Small-amplitude homogenization of elastic plates via H-measures
Antonic, Nenad
Burazin, Kresimir
Jankov, Jelena
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022, 102 (05):
[24] A GENERALIZATION OF H-MEASURES AND APPLICATION ON PURELY FRACTIONAL SCALAR CONSERVATION LAWS
Mitrovic, Darko
Ivec, Ivan
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (06) : 1617 - 1627
[25] Relaxation of Three Solenoidal Wells and Characterization of Extremal Three-phase H-measures
Palombaro, M.
Smyshlyaev, V. P.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 194 (03) : 775 - 822
[26] QUANTITATIVE ASPECTS OF THE RIGIDITY OF BRANCHING MICROSTRUCTURES IN SHAPE MEMORY ALLOYS VIA H-MEASURES
Simon, Theresa M.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (04) : 4537 - 4567
[27] Relaxation of Three Solenoidal Wells and Characterization of Extremal Three-phase H-measures
M. Palombaro
V. P. Smyshlyaev
Archive for Rational Mechanics and Analysis, 2009, 194 : 775 - 822
[28] Parabolic variant of H-measures in homogenisation of a model problem based on Navier-Stokes equation
Antonic, Nenad
Lazar, Martin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (06) : 4500 - 4512
[29] H-MEASURES, A NEW APPROACH FOR STUDYING HOMOGENIZATION, OSCILLATIONS AND CONCENTRATION EFFECTS IN PARTIAL-DIFFERENTIAL EQUATIONS
TARTAR, L
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 115 : 193 - 230
[30] OPEN SYSTEMS OF SPLITTING PARTICLES
ANTONETS, VA
ANTONETS, MA
FARFEL, VA
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (5-6) : 1053 - 1064

← 1 2 3 4 5 →