There has been much recent progress in extending Griffith's criterion for crack growth into mathematical models for quasi-static crack evolution that are well-posed, in the sense that there exist solutions that can be numerically approximated. However, mathematical progress toward dynamic fracture (crack growth consistent with Griffith's criterion, together with elastodynamics) has been more meager. We describe some recent results on a phase-field model of dynamic fracture, and introduce models for "sharp interface" dynamic fracture.
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Univ Napoli Federico II, Dipartimento Matemat Applicaz R Caccioppoli, Via Cintia Monte St Angelo, I-80126 Naples, ItalyEcole Polytech, CNRS, CMAP, F-91128 Palaiseau, France
Scilla, Giovanni
Solombrino, Francesco
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Univ Napoli Federico II, Dipartimento Matemat Applicaz R Caccioppoli, Via Cintia Monte St Angelo, I-80126 Naples, ItalyEcole Polytech, CNRS, CMAP, F-91128 Palaiseau, France
机构:
Yibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R ChinaYibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
Rao, Ruofeng
Pu, Zhilin
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Yibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R ChinaYibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
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Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA
Liu, Yongming
Zhang, Chao
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Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA
Zhang, Chao
Xiang, Yibing
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Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA
机构:
Univ Napoli Federico II, Dipartimento Matemat Applicaz R Caccioppoli, Via Cintia Monte St Angelo, I-80126 Naples, ItalyEcole Polytech, CNRS, CMAP, F-91128 Palaiseau, France
Scilla, Giovanni
Solombrino, Francesco
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机构:
Univ Napoli Federico II, Dipartimento Matemat Applicaz R Caccioppoli, Via Cintia Monte St Angelo, I-80126 Naples, ItalyEcole Polytech, CNRS, CMAP, F-91128 Palaiseau, France
机构:
Yibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R ChinaYibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
Rao, Ruofeng
Pu, Zhilin
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h-index: 0
机构:
Yibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R ChinaYibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China
机构:
Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA
Liu, Yongming
Zhang, Chao
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h-index: 0
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Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA
Zhang, Chao
Xiang, Yibing
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h-index: 0
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Arizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USAArizona State Univ, Sch Engn Matter Transport & Energy, Tempe, AZ 85287 USA