Sozio, Fabio; Yavari, Arash A geometric field theory of dislocation mechanics. (English) Zbl 1525.74037 J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023). MSC: 74C15 74A60 74E15 53Z05 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023; Zbl 1525.74037) Full Text: DOI arXiv
Babadjian, Jean-François; Di Fratta, Giovanni; Fonseca, Irene; Francfort, Gilles A.; Lewicka, Marta; Muratov, Cyrill B. The mathematics of thin structures. (English) Zbl 1511.49011 Q. Appl. Math. 81, No. 1, 1-64 (2023). Reviewer: Faitori Omer Salem (Tripoli) MSC: 49J45 49S05 74B20 74K20 74K35 53A35 PDFBibTeX XMLCite \textit{J.-F. Babadjian} et al., Q. Appl. Math. 81, No. 1, 1--64 (2023; Zbl 1511.49011) Full Text: DOI
Kolev, B.; Desmorat, R. An intrinsic geometric formulation of hyper-elasticity, pressure potential and non-holonomic constraints. (English) Zbl 1487.74012 J. Elasticity 146, No. 1, 29-63 (2021). MSC: 74B20 74A05 74A20 53Z05 PDFBibTeX XMLCite \textit{B. Kolev} and \textit{R. Desmorat}, J. Elasticity 146, No. 1, 29--63 (2021; Zbl 1487.74012) Full Text: DOI arXiv HAL
Amstutz, Samuel; van Goethem, Nicolas The incompatibility operator: from Riemann’s intrinsic view of geometry to a new model of elasto-plasticity. (English) Zbl 1444.53020 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 33-70 (2019). MSC: 53B50 53B20 74B20 74A99 53-02 PDFBibTeX XMLCite \textit{S. Amstutz} and \textit{N. van Goethem}, in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 33--70 (2019; Zbl 1444.53020) Full Text: DOI HAL
Marin, Marin; Rădulescu, Vicenţiu A variational approach for the mixed problem in the elastostatics of bodies with dipolar structure. (English) Zbl 1404.70041 Mediterr. J. Math. 15, No. 6, Paper No. 221, 12 p. (2018). MSC: 70G75 53A45 58E30 74A20 PDFBibTeX XMLCite \textit{M. Marin} and \textit{V. Rădulescu}, Mediterr. J. Math. 15, No. 6, Paper No. 221, 12 p. (2018; Zbl 1404.70041) Full Text: DOI
Lewicka, Marta; Raoult, Annie; Ricciotti, Diego Plates with incompatible prestrain of high order. (English. French summary) Zbl 1457.74121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1883-1912 (2017). MSC: 74K20 53Z05 PDFBibTeX XMLCite \textit{M. Lewicka} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1883--1912 (2017; Zbl 1457.74121) Full Text: DOI arXiv HAL
Panicaud, B.; Rouhaud, E. A frame-indifferent model for a thermo-elastic material beyond the three-dimensional Eulerian and Lagrangian descriptions. (English) Zbl 1341.74049 Contin. Mech. Thermodyn. 26, No. 1, 79-93 (2014). MSC: 74F05 74B05 80A20 53B21 PDFBibTeX XMLCite \textit{B. Panicaud} and \textit{E. Rouhaud}, Contin. Mech. Thermodyn. 26, No. 1, 79--93 (2014; Zbl 1341.74049) Full Text: DOI
Younes, Laurent Jacobi fields in groups of diffeomorphisms and applications. (English) Zbl 1128.53040 Q. Appl. Math. 65, No. 1, 113-134 (2007). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C44 58E50 53C22 PDFBibTeX XMLCite \textit{L. Younes}, Q. Appl. Math. 65, No. 1, 113--134 (2007; Zbl 1128.53040) Full Text: DOI
Ciarlet, Philippe G. An introduction to differential geometry with applications to elasticity. (English) Zbl 1086.74001 J. Elasticity 78-79, No. 1-3, 3-201 (2005). MSC: 53A05 53-01 53C21 74-01 74B05 74B20 PDFBibTeX XMLCite \textit{P. G. Ciarlet}, J. Elasticity 78--79, No. 1--3, 3--201 (2005; Zbl 1086.74001) Full Text: DOI
Thiffeault, Jean-Luc; Morrison, P. J. Classification and Casimir invariants of Lie-Poisson brackets. (English) Zbl 1076.37517 Physica D 136, No. 3-4, 205-244 (2000). MSC: 37J15 17B63 37K05 37N10 53D17 76W05 PDFBibTeX XMLCite \textit{J.-L. Thiffeault} and \textit{P. J. Morrison}, Physica D 136, No. 3--4, 205--244 (2000; Zbl 1076.37517) Full Text: DOI arXiv