Class information for:
Level 1: FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9530 1147 26.1 45%


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
9530 1                   FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION 1147

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 FREE DISCONTINUITY PROBLEMS authKW 1377693 5% 89% 58
2 RATE INDEPENDENT PROCESSES authKW 828269 3% 94% 33
3 QUASISTATIC EVOLUTION authKW 626000 2% 87% 27
4 ENERGETIC SOLUTION authKW 378933 2% 65% 22
5 GRIFFITHS CRITERION authKW 321344 1% 93% 13
6 RATE INDEPENDENT SYSTEMS authKW 299919 1% 87% 13
7 GAMMA CONVERGENCE authKW 296545 7% 14% 77
8 QUASI STATIC EVOLUTION authKW 272244 1% 68% 15
9 FREE DISCONTINUITY authKW 242001 1% 91% 10
10 PRANDTL REUSS PLASTICITY authKW 212963 1% 100% 8

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 Mathematics, Applied 25211 58% 0% 670
2 Mathematics 10163 41% 0% 470
3 Mechanics 5030 23% 0% 269
4 Mathematics, Interdisciplinary Applications 935 7% 0% 79
5 Engineering, General 709 6% 0% 74
6 Automation & Control Systems 230 3% 0% 38
7 Materials Science, Multidisciplinary 50 8% 0% 96
8 Thermodynamics 19 2% 0% 19
9 Physics, Mathematical 18 2% 0% 21
10 Computer Science, Cybernetics 9 0% 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 CESIA PL SEISMOL STRUCT DYNAM 53241 0% 100% 2
2 DIPARTIMENTO SBAI SCI BASE PLICATE INGN 53241 0% 100% 2
3 UMR EDF CNRS CEA ENSTA PARISTECH 9219 53241 0% 100% 2
4 ENPCIFSTTARUMR8205 35492 0% 67% 2
5 LPMTM 33766 2% 6% 20
6 DIPARTIMENTO MATEMAT FRANCESCO BRIO I 32598 1% 18% 7
7 CHAIR 1 29932 1% 13% 9
8 DICATAM 28999 1% 10% 11
9 UPR 9001 27989 1% 10% 11
10 ANAL DYNAMIK MODELLIERUNG 26620 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 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 30407 5% 2% 54
2 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 28583 4% 3% 43
3 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 28427 3% 4% 29
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 26676 3% 3% 40
5 ADVANCES IN CALCULUS OF VARIATIONS 17495 1% 7% 10
6 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 17240 3% 2% 30
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 12824 1% 3% 15
8 JOURNAL OF CONVEX ANALYSIS 12459 2% 2% 20
9 CONTINUUM MECHANICS AND THERMODYNAMICS 11176 2% 2% 19
10 INTERFACES AND FREE BOUNDARIES 9890 1% 3% 11

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 FREE DISCONTINUITY PROBLEMS 1377693 5% 89% 58 Search FREE+DISCONTINUITY+PROBLEMS Search FREE+DISCONTINUITY+PROBLEMS
2 RATE INDEPENDENT PROCESSES 828269 3% 94% 33 Search RATE+INDEPENDENT+PROCESSES Search RATE+INDEPENDENT+PROCESSES
3 QUASISTATIC EVOLUTION 626000 2% 87% 27 Search QUASISTATIC+EVOLUTION Search QUASISTATIC+EVOLUTION
4 ENERGETIC SOLUTION 378933 2% 65% 22 Search ENERGETIC+SOLUTION Search ENERGETIC+SOLUTION
5 GRIFFITHS CRITERION 321344 1% 93% 13 Search GRIFFITHS+CRITERION Search GRIFFITHS+CRITERION
6 RATE INDEPENDENT SYSTEMS 299919 1% 87% 13 Search RATE+INDEPENDENT+SYSTEMS Search RATE+INDEPENDENT+SYSTEMS
7 GAMMA CONVERGENCE 296545 7% 14% 77 Search GAMMA+CONVERGENCE Search GAMMA+CONVERGENCE
8 QUASI STATIC EVOLUTION 272244 1% 68% 15 Search QUASI+STATIC+EVOLUTION Search QUASI+STATIC+EVOLUTION
9 FREE DISCONTINUITY 242001 1% 91% 10 Search FREE+DISCONTINUITY Search FREE+DISCONTINUITY
10 PRANDTL REUSS PLASTICITY 212963 1% 100% 8 Search PRANDTL+REUSS+PLASTICITY Search PRANDTL+REUSS+PLASTICITY

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 ALESSI, R , (2016) ENERGETIC FORMULATION FOR RATE-INDEPENDENT PROCESSES: REMARKS ON DISCONTINUOUS EVOLUTIONS WITH A SIMPLE EXAMPLE.ACTA MECHANICA. VOL. 227. ISSUE 10. P. 2805 -2829 43 88% 0
2 CRISMALE, V , LAZZARONI, G , (2016) VISCOUS APPROXIMATION OF QUASISTATIC EVOLUTIONS FOR A COUPLED ELASTOPLASTIC-DAMAGE MODEL.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 55. ISSUE 1. P. - 22 100% 3
3 MIELKE, A , ROSSI, R , SAVARE, G , (2012) BV SOLUTIONS AND VISCOSITY APPROXIMATIONS OF RATE-INDEPENDENT SYSTEMS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 18. ISSUE 1. P. 36 -80 30 91% 17
4 MIELKE, A , (2011) DIFFERENTIAL, ENERGETIC, AND METRIC FORMULATIONS FOR RATE-INDEPENDENT PROCESSES.NONLINEAR PDE'S AND APPLICATIONS. VOL. 2028. ISSUE . P. 87-170 33 85% 15
5 BOURDIN, B , FRANCFORT, GA , MARIGO, JJ , (2008) THE VARIATIONAL APPROACH TO FRACTURE.JOURNAL OF ELASTICITY. VOL. 91. ISSUE 1-3. P. 5 -148 32 70% 192
6 CRISMALE, V , (2016) GLOBALLY STABLE QUASISTATIC EVOLUTION FOR A COUPLED ELASTOPLASTIC-DAMAGE MODEL.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 22. ISSUE 3. P. 883 -912 23 96% 2
7 BABADJIAN, JF , HENAO, D , (2016) REDUCED MODELS FOR LINEARLY ELASTIC THIN FILMS ALLOWING FOR FRACTURE, DEBONDING OR DELAMINATION.INTERFACES AND FREE BOUNDARIES. VOL. 18. ISSUE 4. P. 545 -578 29 85% 0
8 FREDDI, F , IURLANO, F , (2017) NUMERICAL INSIGHT OF A VARIATIONAL SMEARED APPROACH TO COHESIVE FRACTURE.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS. VOL. 98. ISSUE . P. 156 -171 28 82% 0
9 CRISMALE, V , LAZZARONI, G , (2017) QUASISTATIC CRACK GROWTH BASED ON VISCOUS APPROXIMATION: A MODEL WITH BRANCHING AND KINKING.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 24. ISSUE 1. P. - 23 100% 0
10 CONTI, S , FOCARDI, M , IURLANO, F , (2016) PHASE FIELD APPROXIMATION OF COHESIVE FRACTURE MODELS.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 33. ISSUE 4. P. 1033 -1067 25 86% 1

Classes with closest relation at Level 1


Rank Class id link
1 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
2 24566 NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION
3 33203 NUCLEATION OF DEFECTS//MOVING LAYERS//UMR2832
4 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
5 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
6 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
7 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
8 5488 TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS
9 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
10 18777 DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET

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