Class information for:
Level 2: FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3300 1859 23.9 40%


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
24566 1                   NONPENETRATION CONDITION//DERIVATIVE OF ENERGY FUNCTIONAL//NON PENETRATION 308
30626 1                   BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES 166
33508 1                   COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA 124
34216 1                   UNITE RECH PHYS QUANT//UR ES 11 54//QUANTUM PHYS UR ES 54 11 114

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 849990 3% 89% 58
2 RATE INDEPENDENT PROCESSES authKW 511015 2% 94% 33
3 QUASISTATIC EVOLUTION authKW 386221 1% 87% 27
4 NONPENETRATION CONDITION authKW 361327 1% 100% 22
5 ENERGETIC SOLUTION authKW 233784 1% 65% 22
6 GRIFFITHS CRITERION authKW 198259 1% 93% 13
7 RATE INDEPENDENT SYSTEMS authKW 185040 1% 87% 13
8 GAMMA CONVERGENCE authKW 182909 4% 14% 77
9 UNITE RECH PHYS QUANT address 179652 1% 58% 19
10 QUASI STATIC EVOLUTION authKW 167963 1% 68% 15

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 28731 49% 0% 915
2 Mathematics 11508 35% 0% 642
3 Mechanics 9374 25% 0% 466
4 Mathematics, Interdisciplinary Applications 771 5% 0% 94
5 Engineering, General 686 5% 0% 95
6 Automation & Control Systems 169 2% 0% 44
7 Materials Science, Multidisciplinary 140 10% 0% 180
8 Multidisciplinary Sciences 76 1% 0% 25
9 Physics, Mathematical 23 2% 0% 32
10 Thermodynamics 19 1% 0% 27

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 UNITE RECH PHYS QUANT 179652 1% 58% 19
2 LAVRENTYEV HYDRODYNAM 63137 1% 19% 20
3 MA LAVRENTYEV HYDRODYNAM 39267 1% 15% 16
4 UR ES 11 54 37537 0% 57% 4
5 CESIA PL SEISMOL STRUCT DYNAM 32848 0% 100% 2
6 CHAIR PL MECH LTM 32848 0% 100% 2
7 DIPARTIMENTO SBAI SCI BASE PLICATE INGN 32848 0% 100% 2
8 QUANTUM PHYS UR ES 54 11 32848 0% 100% 2
9 UMR EDF CNRS CEA ENSTA PARISTECH 9219 32848 0% 100% 2
10 UR ES 54 11 32848 0% 100% 2

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 21605 3% 2% 58
2 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 19283 2% 3% 45
3 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 18748 2% 4% 30
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 16429 2% 3% 40
5 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 15801 3% 2% 59
6 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 12081 2% 2% 32
7 ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 11603 1% 3% 25
8 ADVANCES IN CALCULUS OF VARIATIONS 10787 1% 7% 10
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 7901 1% 3% 15
10 JOURNAL OF CONVEX ANALYSIS 7672 1% 2% 20

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 849990 3% 89% 58 Search FREE+DISCONTINUITY+PROBLEMS Search FREE+DISCONTINUITY+PROBLEMS
2 RATE INDEPENDENT PROCESSES 511015 2% 94% 33 Search RATE+INDEPENDENT+PROCESSES Search RATE+INDEPENDENT+PROCESSES
3 QUASISTATIC EVOLUTION 386221 1% 87% 27 Search QUASISTATIC+EVOLUTION Search QUASISTATIC+EVOLUTION
4 NONPENETRATION CONDITION 361327 1% 100% 22 Search NONPENETRATION+CONDITION Search NONPENETRATION+CONDITION
5 ENERGETIC SOLUTION 233784 1% 65% 22 Search ENERGETIC+SOLUTION Search ENERGETIC+SOLUTION
6 GRIFFITHS CRITERION 198259 1% 93% 13 Search GRIFFITHS+CRITERION Search GRIFFITHS+CRITERION
7 RATE INDEPENDENT SYSTEMS 185040 1% 87% 13 Search RATE+INDEPENDENT+SYSTEMS Search RATE+INDEPENDENT+SYSTEMS
8 GAMMA CONVERGENCE 182909 4% 14% 77 Search GAMMA+CONVERGENCE Search GAMMA+CONVERGENCE
9 QUASI STATIC EVOLUTION 167963 1% 68% 15 Search QUASI+STATIC+EVOLUTION Search QUASI+STATIC+EVOLUTION
10 FREE DISCONTINUITY 149307 1% 91% 10 Search FREE+DISCONTINUITY Search FREE+DISCONTINUITY

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 2


Rank Class id link
1 2568 HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS
2 1824 MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY
3 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
4 2554 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//FRICTIONAL CONTACT
5 1855 STRAIN GRADIENT PLASTICITY//GRADIENT ELASTICITY//DISLOCATION DYNAMICS
6 1010 MESHLESS METHOD//MESHFREE METHOD//PERIDYNAMICS
7 2352 RATCHETING//INTERNATIONAL JOURNAL OF PLASTICITY//CYCLIC PLASTICITY
8 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL
9 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
10 912 ENGINEERING FRACTURE MECHANICS//INTERNATIONAL JOURNAL OF FRACTURE//STRESS INTENSITY FACTOR

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