Class information for:
Level 1: COMPUTATIONAL HOMOGENIZATION//REPRESENTATIVE VOLUME ELEMENT//HOMOGENIZATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7935 1311 32.4 57%


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
7935 1                   COMPUTATIONAL HOMOGENIZATION//REPRESENTATIVE VOLUME ELEMENT//HOMOGENIZATION 1311

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 COMPUTATIONAL HOMOGENIZATION authKW 1060904 6% 58% 79
2 REPRESENTATIVE VOLUME ELEMENT authKW 512089 6% 30% 74
3 HOMOGENIZATION authKW 309732 18% 6% 236
4 HOMOGENIZATION METHOD authKW 231160 3% 23% 44
5 RVE authKW 212194 2% 34% 27
6 VORONOI CELL FEM authKW 186320 1% 100% 8
7 RANDOM COMPOSITES authKW 175558 1% 54% 14
8 HETEROGENEOUS MATERIALS authKW 166247 3% 18% 39
9 MESOSCALE BOUNDS authKW 163030 1% 100% 7
10 INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING journal 145978 4% 11% 57

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 26664 49% 0% 645
2 Mathematics, Interdisciplinary Applications 23231 30% 0% 397
3 Engineering, General 18377 29% 0% 375
4 Materials Science, Composites 4106 8% 0% 109
5 Materials Science, Multidisciplinary 1712 27% 0% 358
6 Materials Science, Characterization, Testing 282 2% 0% 26
7 Computer Science, Interdisciplinary Applications 239 4% 0% 56
8 Engineering, Mechanical 225 5% 0% 67
9 Engineering, Geological 96 1% 0% 15
10 Engineering, Civil 63 3% 0% 34

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 MULTISCALE SCI ENGN 114652 1% 62% 8
2 CIVIL ENGN ARCHITECTURE ENVIRONM ENGN 108537 1% 27% 17
3 FLOW MAT SIMULAT 55889 0% 40% 6
4 MPEE 52401 0% 75% 3
5 DE VINCI TECHNOL 46580 0% 100% 2
6 LEHRSTUHL GR H SYST 46580 0% 100% 2
7 LMSME UMR8208 46580 0% 100% 2
8 SCI TECHNOL SUPPORT GRP 46580 0% 100% 2
9 YOUNG INVESTIGATOR GRP COMP AIDED MAT MODELING 41920 0% 60% 3
10 MORPHOL MATH MATH SYST 33528 0% 24% 6

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 INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING 145978 4% 11% 57
2 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 49043 10% 2% 132
3 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 31291 8% 1% 105
4 COMPUTATIONAL MECHANICS 30315 4% 2% 57
5 INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 23280 7% 1% 98
6 JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 19898 4% 2% 54
7 MECHANICS OF MATERIALS 16018 3% 2% 41
8 COMPUTATIONAL MATERIALS SCIENCE 11737 5% 1% 60
9 COMPOSITE STRUCTURES 4893 3% 1% 41
10 MATERIALS SCIENCE RESEARCH INTERNATIONAL 3970 1% 2% 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 COMPUTATIONAL HOMOGENIZATION 1060904 6% 58% 79 Search COMPUTATIONAL+HOMOGENIZATION Search COMPUTATIONAL+HOMOGENIZATION
2 REPRESENTATIVE VOLUME ELEMENT 512089 6% 30% 74 Search REPRESENTATIVE+VOLUME+ELEMENT Search REPRESENTATIVE+VOLUME+ELEMENT
3 HOMOGENIZATION 309732 18% 6% 236 Search HOMOGENIZATION Search HOMOGENIZATION
4 HOMOGENIZATION METHOD 231160 3% 23% 44 Search HOMOGENIZATION+METHOD Search HOMOGENIZATION+METHOD
5 RVE 212194 2% 34% 27 Search RVE Search RVE
6 VORONOI CELL FEM 186320 1% 100% 8 Search VORONOI+CELL+FEM Search VORONOI+CELL+FEM
7 RANDOM COMPOSITES 175558 1% 54% 14 Search RANDOM+COMPOSITES Search RANDOM+COMPOSITES
8 HETEROGENEOUS MATERIALS 166247 3% 18% 39 Search HETEROGENEOUS+MATERIALS Search HETEROGENEOUS+MATERIALS
9 MESOSCALE BOUNDS 163030 1% 100% 7 Search MESOSCALE+BOUNDS Search MESOSCALE+BOUNDS
10 LE VCFEM 139740 0% 100% 6 Search LE+VCFEM Search LE+VCFEM

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 SAEB, S , STEINMANN, P , JAVILI, A , (2016) ASPECTS OF COMPUTATIONAL HOMOGENIZATION AT FINITE DEFORMATIONS: A UNIFYING REVIEW FROM REUSS' TO VOIGT'S BOUND.APPLIED MECHANICS REVIEWS. VOL. 68. ISSUE 5. P. - 185 47% 1
2 GEERS, MGD , KOUZNETSOVA, VG , BREKELMANS, WAM , (2010) MULTI-SCALE COMPUTATIONAL HOMOGENIZATION: TRENDS AND CHALLENGES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 234. ISSUE 7. P. 2175-2182 30 79% 185
3 MATOUS, K , GEERS, MGD , KOUZNETSOVA, VG , GILLMAN, A , (2017) A REVIEW OF PREDICTIVE NONLINEAR THEORIES FOR MULTISCALE MODELING OF HETEROGENEOUS MATERIALS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 330. ISSUE . P. 192 -220 84 32% 0
4 BLANCO, PJ , SANCHEZ, PJ , NETO, EAD , FEIJOO, RA , (2016) VARIATIONAL FOUNDATIONS AND GENERALIZED UNIFIED THEORY OF RVE-BASED MULTISCALE MODELS.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 23. ISSUE 2. P. 191 -253 41 47% 4
5 GHOSH, S , PAQUET, D , (2013) ADAPTIVE CONCURRENT MULTI-LEVEL MODEL FOR MULTI-SCALE ANALYSIS OF DUCTILE FRACTURE IN HETEROGENEOUS ALUMINUM ALLOYS.MECHANICS OF MATERIALS. VOL. 65. ISSUE . P. 12 -34 36 67% 12
6 TROVALUSCI, P , OSTOJA-STARZEWSKI, M , DE BELLIS, ML , MURRALI, A , (2015) SCALE-DEPENDENT HOMOGENIZATION OF RANDOM COMPOSITES AS MICROPOLAR CONTINUA.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. VOL. 49. ISSUE . P. 396 -407 27 71% 12
7 COENEN, EWC , KOUZNETSOVA, VG , GEERS, MGD , (2012) NOVEL BOUNDARY CONDITIONS FOR STRAIN LOCALIZATION ANALYSES IN MICROSTRUCTURAL VOLUME ELEMENTS.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 90. ISSUE 1. P. 1-21 28 74% 39
8 FRITZEN, F , HODAPP, M , (2016) THE FINITE ELEMENT SQUARE REDUCED (FE2R) METHOD WITH GPU ACCELERATION: TOWARDS THREE-DIMENSIONAL TWO-SCALE SIMULATIONS.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 107. ISSUE 10. P. 853 -881 32 68% 0
9 REIS, FJP , PIRES, FMA , (2013) AN ADAPTIVE SUB-INCREMENTAL STRATEGY FOR THE SOLUTION OF HOMOGENIZATION-BASED MULTI-SCALE PROBLEMS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 257. ISSUE . P. 164-182 32 71% 1
10 OSTOJA-STARZEWSKI, M , (2006) MATERIAL SPATIAL RANDOMNESS: FROM STATISTICAL TO REPRESENTATIVE VOLUME ELEMENT.PROBABILISTIC ENGINEERING MECHANICS. VOL. 21. ISSUE 2. P. 112 -132 28 74% 168

Classes with closest relation at Level 1


Rank Class id link
1 4937 MICROMECHANICS//NONLINEAR HOMOGENIZATION//IMPERFECT INTERFACE
2 23587 FINITE VOLUME THEORY//HIGHER ORDER DIMENSIONAL SPACE//HIGH FIDELITY GENERALIZED METHOD OF CELLS
3 20678 SEQUENTIALLY LINEAR ANALYSIS//VIRTUAL INTERNAL BOND//MODULARIZED STRUCTURE
4 11651 UPSCALING//MULTISCALE FINITE ELEMENT METHOD//MULTISCALE METHODS
5 12216 STOCHASTIC RECONSTRUCTION//PROBABILITY FUNCTIONS//LINEAL PATH FUNCTION
6 32456 MULTI CONNECTED CROSS SECTION//DEGENERATE BOUNDARY CONDITIONS//EXACT 3D ELASTIC SOLUTION
7 4674 EXTENDED FINITE ELEMENT METHOD//XFEM//X FEM
8 11207 QUASICONTINUUM METHOD//QUASICONTINUUM//ATOMISTIC TO CONTINUUM COUPLING
9 12910 INT MATH MECH COMPLEX SYST//PANTOGRAPHIC STRUCTURES//MICROPOLAR ELASTICITY
10 23766 TOLERANCE MODELLING//HOMOGENIZED MODEL//PERIODICALLY LAYERED COMPOSITE

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