Class information for:
Level 1: EXTREMAL ELASTIC STRUCTURES//KOLOSOV MUSKHELISHVILI POTENTIALS//PLANE ELASTICITY PROBLEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
17535 594 22.1 37%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
322 3       INTERNATIONAL APPLIED MECHANICS//SP TIMOSHENKO MECH//MECHANICS 39085
1577 2             HOMOGENIZATION//COMPUTATIONAL HOMOGENIZATION//SURFACE ELASTICITY 7267
17535 1                   EXTREMAL ELASTIC STRUCTURES//KOLOSOV MUSKHELISHVILI POTENTIALS//PLANE ELASTICITY PROBLEM 594

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 EXTREMAL ELASTIC STRUCTURES authKW 719672 2% 100% 14
2 KOLOSOV MUSKHELISHVILI POTENTIALS authKW 620531 2% 93% 13
3 PLANE ELASTICITY PROBLEM authKW 419797 2% 58% 14
4 OPTIMAL MICROSTRUCTURES authKW 231320 1% 75% 6
5 HOOP STRESSES authKW 228981 1% 64% 7
6 HASHIN SHTRIKMAN BOUNDS authKW 217700 2% 35% 12
7 DEPENDENCE ON THE GRADIENT OF THE STATE authKW 205620 1% 100% 4
8 DYNAMIC MATERIALS authKW 165809 2% 32% 10
9 CHECKERBOARD LATTICES authKW 154215 1% 100% 3
10 HOMOGENIZED SPIKE VARIATION authKW 154215 1% 100% 3

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Mechanics 7655 39% 0% 234
2 Mathematics, Applied 3708 32% 0% 189
3 Engineering, General 770 9% 0% 54
4 Mathematics 498 14% 0% 82
5 Materials Science, Multidisciplinary 358 20% 0% 118
6 Mathematics, Interdisciplinary Applications 194 5% 0% 27
7 Physics, Condensed Matter 193 11% 0% 68
8 Materials Science, Composites 152 3% 0% 15
9 Physics, Applied 99 11% 0% 67
10 Operations Research & Management Science 87 3% 0% 19

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 VIEN CO HOC 77105 1% 50% 3
2 VAST 58407 1% 23% 5
3 DIPARTIMENTO MATEMAT CASTELNUOVO 51405 0% 100% 1
4 DPTO ECUAC DIFERENCIALES ANALISIS NUMER 51405 0% 100% 1
5 MATEMAT ETSI IND 51405 0% 100% 1
6 UMR 7641 MATH PL 51405 0% 100% 1
7 PL INFORMAT CONSTRUCT 51403 0% 50% 2
8 ETSI IND 39477 5% 3% 27
9 DE EPFL 25702 0% 50% 1
10 JONSSON ENGN 5003 25702 0% 50% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 16424 6% 1% 33
2 MATHEMATICS AND MECHANICS OF SOLIDS 8706 2% 1% 12
3 INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 5729 4% 1% 22
4 PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 5065 3% 0% 20
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 4517 3% 1% 15
6 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 4451 3% 1% 15
7 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 4170 1% 1% 8
8 JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES 3685 1% 1% 7
9 MECHANICS OF MATERIALS 3546 2% 1% 13
10 PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 3191 1% 1% 8

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 EXTREMAL ELASTIC STRUCTURES 719672 2% 100% 14 Search EXTREMAL+ELASTIC+STRUCTURES Search EXTREMAL+ELASTIC+STRUCTURES
2 KOLOSOV MUSKHELISHVILI POTENTIALS 620531 2% 93% 13 Search KOLOSOV+MUSKHELISHVILI+POTENTIALS Search KOLOSOV+MUSKHELISHVILI+POTENTIALS
3 PLANE ELASTICITY PROBLEM 419797 2% 58% 14 Search PLANE+ELASTICITY+PROBLEM Search PLANE+ELASTICITY+PROBLEM
4 OPTIMAL MICROSTRUCTURES 231320 1% 75% 6 Search OPTIMAL+MICROSTRUCTURES Search OPTIMAL+MICROSTRUCTURES
5 HOOP STRESSES 228981 1% 64% 7 Search HOOP+STRESSES Search HOOP+STRESSES
6 HASHIN SHTRIKMAN BOUNDS 217700 2% 35% 12 Search HASHIN+SHTRIKMAN+BOUNDS Search HASHIN+SHTRIKMAN+BOUNDS
7 DEPENDENCE ON THE GRADIENT OF THE STATE 205620 1% 100% 4 Search DEPENDENCE+ON+THE+GRADIENT+OF+THE+STATE Search DEPENDENCE+ON+THE+GRADIENT+OF+THE+STATE
8 DYNAMIC MATERIALS 165809 2% 32% 10 Search DYNAMIC+MATERIALS Search DYNAMIC+MATERIALS
9 CHECKERBOARD LATTICES 154215 1% 100% 3 Search CHECKERBOARD+LATTICES Search CHECKERBOARD+LATTICES
10 HOMOGENIZED SPIKE VARIATION 154215 1% 100% 3 Search HOMOGENIZED+SPIKE+VARIATION Search HOMOGENIZED+SPIKE+VARIATION

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 ARANDA, E , BELLIDO, JC , DONOSO, A , (2012) A COMPUTATIONAL METHOD FOR AN OPTIMAL DESIGN PROBLEM IN UNIFORM TORSION UNDER LOCAL STRESS CONSTRAINTS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 154. ISSUE 2. P. 443-461 21 88% 0
2 JASIUK, I , (2009) STRESS INVARIANCE AND EXACT RELATIONS IN THE MECHANICS OF COMPOSITE MATERIALS: EXTENSIONS OF THE CLM RESULT - A REVIEW.MECHANICS OF MATERIALS. VOL. 41. ISSUE 4. P. 394-404 24 73% 1
3 HEGG, M , (2013) LINKS BETWEEN EFFECTIVE TENSORS FOR FIBER-REINFORCED ELASTIC COMPOSITES.COMPTES RENDUS MECANIQUE. VOL. 341. ISSUE 6. P. 520 -532 17 89% 1
4 LIU, LP , (2014) GEOMETRIES OF INHOMOGENEITIES WITH MINIMUM FIELD CONCENTRATION.MECHANICS OF MATERIALS. VOL. 75. ISSUE . P. 95-102 18 78% 0
5 BELLIDO, JC , DONOSO, A , PEDREGAL, P , (2010) OPTIMAL DESIGN IN CONDUCTIVITY UNDER LOCALLY CONSTRAINED HEAT FLUX.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 195. ISSUE 1. P. 333 -351 18 86% 1
6 LIU, LP , (2011) NEW OPTIMAL MICROSTRUCTURES AND RESTRICTIONS ON THE ATTAINABLE HASHIN-SHTRIKMAN BOUNDS FOR MULTIPHASE COMPOSITE MATERIALS.PHILOSOPHICAL MAGAZINE LETTERS. VOL. 91. ISSUE 7. P. 473-482 16 89% 3
7 CHERKAEV, A , (2014) VARIATIONAL METHOD FOR OPTIMAL MULTIMATERIAL COMPOSITES AND OPTIMAL DESIGN.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. VOL. 83. ISSUE . P. 162 -173 14 78% 1
8 MAESTRE, F , PEDREGAL, P , (2009) DYNAMIC MATERIALS FOR AN OPTIMAL DESIGN PROBLEM UNDER THE TWO-DIMENSIONAL WAVE EQUATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 23. ISSUE 3. P. 973-990 13 93% 2
9 GRABOVSKY, Y , MILTON, GW , SAGE, DS , (2000) EXACT RELATIONS FOR EFFECTIVE TENSORS OF COMPOSITES: NECESSARY CONDITIONS AND SUFFICIENT CONDITIONS.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 53. ISSUE 3. P. 300-353 20 74% 23
10 GIBIANSKY, LV , TORQUATO, S , (1997) THERMAL EXPANSION OF ISOTROPIC MULTIPHASE COMPOSITES AND POLYCRYSTALS.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. VOL. 45. ISSUE 7. P. 1223 -1252 21 75% 37

Classes with closest relation at Level 1



Rank Class id link
1 15276 N POINT PADE APPROXIMANTS//THREE PHASE COMPOSITE MODEL//EFFECTIVE PERMITTIVITY
2 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
3 4937 MICROMECHANICS//NONLINEAR HOMOGENIZATION//IMPERFECT INTERFACE
4 12216 STOCHASTIC RECONSTRUCTION//PROBABILITY FUNCTIONS//LINEAL PATH FUNCTION
5 17664 THIN INTERPHASES//NEUTRAL INCLUSIONS//IMPERFECT INTERFACE
6 13088 ESHELBY TENSOR//CROSS PROPERTY CONNECTION//ESHELBYS PROBLEM
7 22487 EXCHANGE ENHANCED ITINERANT PARAMAGNET//INHOMOGENEOUS METALS//BOUND VALUES
8 1155 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//STRESS CONSTRAINTS
9 37193 DEFENSE HOLE//LIFTING HOOK//CIRCUMFERENTIAL TENSILE STRESS
10 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT

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