Class information for:
Level 1: NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24566 308 20.5 33%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
3300 2             FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION 1859
24566 1                   NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION 308

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 NONPENETRATION CONDITION authKW 2181086 7% 100% 22
2 DERIVATIVE OF ENERGY FUNCTIONAL authKW 793122 3% 100% 8
3 NON PENETRATION authKW 607233 2% 88% 7
4 CRACK WITH NON PENETRATION authKW 594842 2% 100% 6
5 RIGID INCLUSION authKW 502635 6% 30% 17
6 DERIVATIVE OF THE ENERGY FUNCTIONAL authKW 495701 2% 100% 5
7 THIN RIGID INCLUSION authKW 413083 2% 83% 5
8 INEQUALITY TYPE BOUNDARY CONDITIONS authKW 396561 1% 100% 4
9 THIN ELASTIC INCLUSION authKW 396561 1% 100% 4
10 PREFRACTURE ZONE authKW 382388 3% 43% 9

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 7642 54% 0% 167
2 Mathematics, Applied 2048 33% 0% 101
3 Engineering, General 135 6% 0% 17
4 Mathematics 123 10% 0% 31
5 Materials Science, Multidisciplinary 122 17% 0% 52
6 Multidisciplinary Sciences 97 3% 0% 10
7 Mathematics, Interdisciplinary Applications 46 3% 0% 10
8 Materials Science, Characterization, Testing 26 1% 0% 4
9 Operations Research & Management Science 19 2% 0% 7
10 Materials Science, Composites 17 1% 0% 4

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 LAVRENTYEV HYDRODYNAM 381277 6% 19% 20
2 MA LAVRENTYEV HYDRODYNAM 237168 5% 15% 16
3 CHAIR PL MECH LTM 198281 1% 100% 2
4 WESTFAL UMWELT ZENTRUM 198281 1% 100% 2
5 ANAL PL MATH 148707 1% 50% 3
6 CHAIR PL MATH 2 AM2 99140 0% 100% 1
7 EXTRAHARD MAT 99140 0% 100% 1
8 INRIACNRS ELIE CARTANUMR 7502 99140 0% 100% 1
9 IVANO FRANKOVSK SECTOR 99140 0% 100% 1
10 LAVRENTYEV HYDRODYNAM SB RAS 99140 0% 100% 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 APPLIED MECHANICS AND TECHNICAL PHYSICS 35788 6% 2% 19
2 ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 13595 4% 1% 11
3 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 9601 5% 1% 14
4 INTERNATIONAL JOURNAL OF FRACTURE 9540 7% 0% 21
5 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 8116 2% 2% 5
6 MECHANICS OF SOLIDS 6327 2% 1% 6
7 INTERNATIONAL JOURNAL OF DAMAGE MECHANICS 4346 2% 1% 5
8 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE 3975 2% 1% 5
9 EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 3899 3% 0% 9
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 3850 3% 0% 10

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 NONPENETRATION CONDITION 2181086 7% 100% 22 Search NONPENETRATION+CONDITION Search NONPENETRATION+CONDITION
2 DERIVATIVE OF ENERGY FUNCTIONAL 793122 3% 100% 8 Search DERIVATIVE+OF+ENERGY+FUNCTIONAL Search DERIVATIVE+OF+ENERGY+FUNCTIONAL
3 NON PENETRATION 607233 2% 88% 7 Search NON+PENETRATION Search NON+PENETRATION
4 CRACK WITH NON PENETRATION 594842 2% 100% 6 Search CRACK+WITH+NON+PENETRATION Search CRACK+WITH+NON+PENETRATION
5 RIGID INCLUSION 502635 6% 30% 17 Search RIGID+INCLUSION Search RIGID+INCLUSION
6 DERIVATIVE OF THE ENERGY FUNCTIONAL 495701 2% 100% 5 Search DERIVATIVE+OF+THE+ENERGY+FUNCTIONAL Search DERIVATIVE+OF+THE+ENERGY+FUNCTIONAL
7 THIN RIGID INCLUSION 413083 2% 83% 5 Search THIN+RIGID+INCLUSION Search THIN+RIGID+INCLUSION
8 INEQUALITY TYPE BOUNDARY CONDITIONS 396561 1% 100% 4 Search INEQUALITY+TYPE+BOUNDARY+CONDITIONS Search INEQUALITY+TYPE+BOUNDARY+CONDITIONS
9 THIN ELASTIC INCLUSION 396561 1% 100% 4 Search THIN+ELASTIC+INCLUSION Search THIN+ELASTIC+INCLUSION
10 PREFRACTURE ZONE 382388 3% 43% 9 Search PREFRACTURE+ZONE Search PREFRACTURE+ZONE

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 KHLUDNEV, A , (2017) RIGIDITY PARAMETER IDENTIFICATION FOR THIN INCLUSIONS LOCATED INSIDE ELASTIC BODIES.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 172. ISSUE 1. P. 281 -297 20 91% 0
2 SHCHERBAKOV, VV , (2016) THE GRIFFITH FORMULA AND J-INTEGRAL FOR ELASTIC BODIES WITH TIMOSHENKO INCLUSIONS.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 96. ISSUE 11. P. 1306 -1317 19 86% 0
3 KHLUDNEV, AM , (2015) OPTIMAL CONTROL OF A THIN RIGID INCLUSION INTERSECTING THE BOUNDARY OF AN ELASTIC BODY.PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. VOL. 79. ISSUE 5. P. 493 -499 18 78% 0
4 SHCHERBAKOV, V , (2016) SHAPE OPTIMIZATION OF RIGID INCLUSIONS FOR ELASTIC PLATES WITH CRACKS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 67. ISSUE 3. P. - 16 84% 0
5 LAZAREV, NP , (2016) OPTIMAL CONTROL OF THE THICKNESS OF A RIGID INCLUSION IN EQUILIBRIUM PROBLEMS FOR INHOMOGENEOUS TWO-DIMENSIONAL BODIES WITH A CRACK.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 96. ISSUE 4. P. 509 -518 16 76% 1
6 LEUGERING, G , SOKOLOWSKI, J , ZOCHOWSKI, A , (2015) CONTROL OF CRACK PROPAGATION BY SHAPE-TOPOLOGICAL OPTIMIZATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 6. P. 2625 -2657 19 59% 1
7 ITOU, H , KHLUDNEV, AM , (2016) ON DELAMINATED THIN TIMOSHENKO INCLUSIONS INSIDE ELASTIC BODIES.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 17. P. 4980 -4993 9 90% 5
8 RUDOY, EM , (2015) SHAPE DERIVATIVE OF THE ENERGY FUNCTIONAL IN A PROBLEM FOR A THIN RIGID INCLUSION IN AN ELASTIC BODY.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 66. ISSUE 4. P. 1923 -1937 15 60% 8
9 LAZAREV, N , (2015) SHAPE SENSITIVITY ANALYSIS OF THE ENERGY INTEGRALS FOR THE TIMOSHENKO-TYPE PLATE CONTAINING A CRACK ON THE BOUNDARY OF A RIGID INCLUSION.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 66. ISSUE 4. P. 2025 -2040 8 100% 9
10 KHLUDNEV, A , POPOVA, T , (2016) JUNCTION PROBLEM FOR RIGID AND SEMIRIGID INCLUSIONS IN ELASTIC BODIES.ARCHIVE OF APPLIED MECHANICS. VOL. 86. ISSUE 9. P. 1565 -1577 14 64% 0

Classes with closest relation at Level 1


Rank Class id link
1 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
2 33508 COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA
3 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
4 9530 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
5 27926 CHARACTERISTIC SIZE//INCUBATION TIME CRITERION//CRACK BRANCHING AND KINKING
6 33044 CROSS PLY RING//MODAL IMPERFECTION//FRICTIONLESS SLIP
7 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC
8 13411 DYNAMIC FRACTURE//INTERSONIC CRACK PROPAGATION//SELF SIMILAR FUNCTIONS
9 37604 MATH MODELLING UKRAINIAN//ADVECTIVE DIFFUSIVE PROCESS//ASYMMETRIC STRESS TENSOR
10 36475 ELASTIC PLATES//THERMOELASTIC PLATES//HARMONIC OSCILLATIONS

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