Abels, Helmut; Garcke, Harald; Haselböck, Jonas Existence of weak solutions to a Cahn-Hilliard-Biot system. (English) Zbl 07947259 Nonlinear Anal., Real World Appl. 81, Article ID 104194, 41 p. (2025). MSC: 35A01 35D30 35K52 35K58 74B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eptaminitakis, Nikolas; Stefanov, Plamen The solid-fluid transmission problem. (English) Zbl 1543.35245 Trans. Am. Math. Soc. 377, No. 4, 2583-2633 (2024). MSC: 35Q86 35Q35 35A27 35A18 35A17 35A01 35A02 76B03 76T99 74F10 74B10 86A22 86A15 35R30 76M21 74H75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goffi, Fatima Z.; Lemrabet, Keddour Approximate mechanical impedance of a thin linear elastic slab. (English) Zbl 1542.35377 Z. Angew. Math. Phys. 75, No. 4, Paper No. 120, 28 p. (2024). MSC: 35Q74 74K20 74K35 74B10 35S15 34G10 35B65 35A01 35A02 42A38 41A21 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Xinyu; Huang, Weixi; Xu, Chunxiao; Zhao, Lihao A flow-reconstruction based approach for the computation of hydrodynamic stresses on immersed body surface. (English) Zbl 07863639 J. Comput. Phys. 508, Article ID 113025, 27 p. (2024). MSC: 76Mxx 76Dxx 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Breit, Dominic Regularity results in 2D fluid-structure interaction. (English) Zbl 1533.35235 Math. Ann. 388, No. 2, 1495-1538 (2024). MSC: 35Q30 76D05 76D07 76D03 74F10 74K25 74B10 74D10 35B65 35D35 35A01 35A02 35R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kukavica, Igor; Ożański, Wojciech S. On a model of an elastic body fully immersed in a viscous incompressible fluid with small data. (English) Zbl 1533.35242 SIAM J. Math. Anal. 56, No. 1, 746-761 (2024). MSC: 35Q30 76D05 74F10 74B10 35B45 35A01 35A02 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Meng; Yang, Xin-Guang; Yuan, Jinyun Stability and dynamics for Lamé system with degenerate memory and time-varying delay. (English) Zbl 1529.35495 Appl. Math. Optim. 89, No. 1, Paper No. 14, 34 p. (2024). MSC: 35Q74 74B10 74D10 35B40 35B41 35R07 35R09 35R10 35B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Kukavica, Igor; Ożański, Wojciech S. Global well-posedness and exponential decay for a fluid-structure model with small data. (English) Zbl 1531.35222 Indiana Univ. Math. J. 72, No. 6, 2701-2731 (2023). MSC: 35Q30 76D05 74F10 74B10 74J05 35D35 35A01 35A02 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández Sare, Hugo D.; Quintanilla, Ramón Moore Gibson Thompson thermoelastic plates: comparisons. (English) Zbl 1527.35417 J. Evol. Equ. 23, No. 4, Paper No. 70, 24 p. (2023). MSC: 35Q79 74F05 74K20 74B10 35B40 35B35 80A19 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Furtsev, Alexey I.; Fankina, Irina V.; Rodionov, Alexander A.; Ponomarev, Dmitri A. Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite. (English) Zbl 1527.35411 Z. Angew. Math. Phys. 74, No. 5, Paper No. 195, 19 p. (2023). MSC: 35Q74 74K35 74F05 74H45 74E30 74B10 35B40 35D30 35J57 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yu; Meir, A. J. Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity. (English) Zbl 1529.35490 J. Comput. Appl. Math. 431, Article ID 115256, 10 p. (2023). MSC: 35Q60 35Q74 35Q35 35Q86 78A25 74F10 74F15 74L10 74B10 76S05 76W05 86A15 35B45 35D30 35K51 35A15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Yulei; Ming, Pingbing; Xu, Yun Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. (English) Zbl 1534.65240 J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023). MSC: 65N30 65N15 65N12 74K20 74B10 35B25 35J15 35A15 35A01 35A02 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Wei; Yang, Xin-Guang; Shen, Lin Well-posedness for incompressible fluid-solid interaction with vorticity. (English) Zbl 1510.35215 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107113, 15 p. (2023). MSC: 35Q30 76D03 76D05 76D17 74F10 74B10 74H45 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Akil, Mohammad; Soufyane, Abdelaziz; Belhamadia, Youssef Stabilization results of a piezoelectric beams with partial viscous dampings and under Lorenz gauge condition. (English) Zbl 1506.78002 Appl. Math. Optim. 87, No. 2, Paper No. 26, 38 p. (2023). MSC: 78A25 78A55 74F15 74H15 74K10 74H45 74B10 35A01 35A02 35B35 35B40 78M20 74S20 35Q60 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yu; Meir, Amnon Jacob Numerical approximation of solutions of the equations of quasistatic electroporoelasticity. (English) Zbl 1533.65169 Numer. Methods Partial Differ. Equations 38, No. 6, 1929-1947 (2022). MSC: 65M60 65M06 65N30 65M15 76S05 74F10 74F15 74L10 74B10 78A25 78M10 78M20 76M10 76M20 74S05 74S20 35A15 35A01 35A02 35Q35 35Q74 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Aouadi, Moncef Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids. (English) Zbl 1527.35407 Math. Model. Nat. Phenom. 17, Paper No. 41, 24 p. (2022). MSC: 35Q74 35L75 74F05 74H40 74B10 35B35 82B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bazarra, Noelia; Fernández, José R.; Magaña, Antonio; Quintanilla, Ramón Time decay for several porous thermoviscoelastic systems of Moore-Gibson-Thompson type. (English) Zbl 1500.35272 Asymptotic Anal. 129, No. 3-4, 339-359 (2022). MSC: 35Q74 35Q79 74F05 74A15 74B10 80A19 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Yujie; Wang, Junping A locking-free \(P_0\) finite element method for linear elasticity equations on polytopal partitions. (English) Zbl 1512.65273 IMA J. Numer. Anal. 42, No. 4, 3464-3498 (2022). MSC: 65N30 65N15 74B10 76D07 35B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortés, Ruth Milena Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound. (English) Zbl 1502.80003 Rev. Integr. 40, No. 1, 59-75 (2022). MSC: 80A10 74A15 74B10 74B20 35B35 35A01 35A02 35Q79 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Aouadi, Moncef; Mahfoudhi, Imed; Moulahi, Taoufik Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound. (English) Zbl 1498.35527 Asymptotic Anal. 130, No. 1-2, 89-126 (2022). MSC: 35Q74 74L10 74B10 35P15 35A01 35A02 65N35 74S25 80A19 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Paquet, Luc; Nabolsi, Hawraa; Wehbe, Ali Existence and uniqueness of solution of a thermoviscoelastic equation with time-dependent coefficients. (English) Zbl 1498.35532 J. Math. Anal. Appl. 516, No. 2, Article ID 126517, 49 p. (2022). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74A15 74B10 74F05 35K05 80A21 35B65 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Bravo-Castillero, Julián; López Ríos, Luis Fernando Variational formulation for fractional hyperbolic problems in the theory of viscoelasticity. (English) Zbl 1497.65165 Z. Angew. Math. Phys. 73, No. 5, Paper No. 199, 20 p. (2022). MSC: 65M60 65M12 65M15 74D05 74B10 35A15 35D30 35A01 35A02 42A38 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrios, Tomás P.; Behrens, Edwin M.; Bustinza, Rommel Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. (English) Zbl 1493.65188 Adv. Comput. Math. 48, No. 4, Paper No. 43, 33 p. (2022). MSC: 65N30 65N15 65N50 35A01 35A02 35A15 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Boffi, Daniele; Gastaldi, Lucia Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions. (English) Zbl 1498.65156 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 109-137 (2022). Reviewer: Daniel Arndt (Oak Ridge) MSC: 65M60 65M06 65N30 65M12 65M85 76A10 76M10 76M20 74F10 74B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Junyan Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. (English) Zbl 1490.35292 Arch. Ration. Mech. Anal. 244, No. 3, 599-697 (2022). MSC: 35Q31 76N10 74F10 74B10 35A01 35A02 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Araujo, Anderson L. A.; Chemetov, Nikolai V. Well-posedness of the Cosserat-Bingham fluid equations. (English) Zbl 1490.35307 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 31, 24 p. (2022). MSC: 35Q35 76A10 76A05 76U05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Brunk, Aaron; Lu, Yong; Lukáčová-Medviďová, Mária Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model. (English) Zbl 1510.35205 Commun. Math. Sci. 20, No. 1, 201-230 (2022). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q35 76A10 76D03 74D10 74B10 35B65 35B45 35D30 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alphonse, Amal; Rautenberg, Carlos N.; Rodrigues, José Francisco Analysis of a quasi-variational contact problem arising in thermoelasticity. (English) Zbl 1509.35301 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112728, 40 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 74A15 74K15 74M15 74B10 35D30 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nonato, C. A. S.; Ramos, A. J. A.; Raposo, C. A.; Dos Santos, M. J.; Freitas, M. M. Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights. (English) Zbl 1483.35257 Z. Angew. Math. Phys. 73, No. 1, Paper No. 20, 20 p. (2022). MSC: 35Q74 35B40 35B35 76S05 35A01 35A02 74B10 80A19 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Kuan, Jeffrey; Čanić, Sunčica A stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equation. (English) Zbl 1503.35168 J. Differ. Equations 310, 45-98 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q74 76D07 74F10 74K15 74B10 60H40 35A01 35A02 35B20 35B65 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Yuan; Liu, Jian-Guo; Liu, Zibu Existence and rigidity of the vectorial Peierls-Nabarro model for dislocations in high dimensions. (English) Zbl 1478.35199 Nonlinearity 34, No. 11, 7778-7828 (2021). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 35Q56 74B10 35A02 35S15 35J50 35B65 35B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, Long; Xi, Shuai; Zhang, Binlin The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients. (English) Zbl 1488.65695 Adv. Appl. Math. Mech. 13, No. 5, 1169-1202 (2021). MSC: 65N35 65N30 65K10 65F08 65N15 35Q74 74K20 74J20 74B10 35J05 74S25 74K05 × Cite Format Result Cite Review PDF Full Text: DOI
de Hoop, Maarten V.; Lin, Ching-Lung; Nakamura, Gen Holmgren-John unique continuation theorem for viscoelastic systems. (English) Zbl 1487.35361 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 287-301 (2021). MSC: 35Q74 74D05 74J25 74B10 74H75 35R09 35A02 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Heping; Lai, Jun; Li, Peijun A highly accurate boundary integral method for the elastic obstacle scattering problem. (English) Zbl 1479.65035 Math. Comput. 90, No. 332, 2785-2814 (2021). MSC: 65N38 65N35 65N80 65T40 65R20 45L05 45P05 74J20 74B10 35J05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Danhua; Liu, Wenjun Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law. (English) Zbl 1473.35557 Asymptotic Anal. 123, No. 1-2, 181-201 (2021). MSC: 35Q74 74F05 74H45 74B10 80A19 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Fan; Bian, Xingzhi; Zhao, Lixian Solutions to a phase-field model for martensitic phase transformations driven by configurational forces. (English) Zbl 1472.35376 Stud. Appl. Math. 146, No. 3, 730-752 (2021). MSC: 35Q74 35D30 35K65 35A01 74B10 74D99 74N05 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yuan; Liu, Jian-Guo; Luo, Tao; Xiang, Yang Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space. (English) Zbl 1471.35268 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3177-3207 (2021). MSC: 35Q74 35Q56 74B10 35A09 35A01 35A02 35S15 35J50 82D25 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. (English) Zbl 1524.65512 Comput. Math. Appl. 91, 202-228 (2021). MSC: 65M60 65N30 76D07 76S05 76M10 65N12 65M06 76M20 74S05 74S20 65D05 74B10 35A01 35A02 65N15 92C10 74L15 35Q92 35Q74 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Maity, Debayan; Roy, Arnab; Takahashi, Takéo Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation. (English) Zbl 1464.35188 Nonlinearity 34, No. 4, 2659-2687 (2021). MSC: 35Q30 35R37 76N10 76N20 74F10 74B10 74K10 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Santos, Juan E.; Carcione, José M.; Ba, Jing Existence and uniqueness of solutions of thermo-poroelasticity. (English) Zbl 1462.35385 J. Math. Anal. Appl. 499, No. 1, Article ID 124907, 22 p. (2021). MSC: 35Q74 35K05 35B65 35A01 35A02 35A15 76S05 74J05 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Mamontov, A. E.; Prokudin, D. A. One-dimensional multicomponent hemodynamics. (Russian. English summary) Zbl 1460.35355 Sib. Èlektron. Mat. Izv. 17, 1975-1989 (2020). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 35Q92 35A01 35A02 35A09 76Z05 92C35 74F10 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Lychev, S. A.; Koifman, K. G. Material affine connections for growing solids. (English) Zbl 1462.53098 Lobachevskii J. Math. 41, No. 10, 2034-2052 (2020). Reviewer: Fabio Di Cosmo (Madrid) MSC: 53Z05 53B20 53B05 74A05 × Cite Format Result Cite Review PDF Full Text: DOI
Matevossian, H. A. On the mixed Neumann-Robin problem for the elasticity system in exterior domains. (English) Zbl 1440.35326 Russ. J. Math. Phys. 27, No. 2, 272-276 (2020). MSC: 35Q74 74B10 35B40 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Conti, S.; Müller, S.; Ortiz, M. Data-driven finite elasticity. (English) Zbl 1437.35654 Arch. Ration. Mech. Anal. 237, No. 1, 1-33 (2020). MSC: 35Q74 74B10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yinghui Local well-posedness of the free-surface incompressible elastodynamics. (English) Zbl 1439.35467 J. Differ. Equations 268, No. 11, 6971-7011 (2020). MSC: 35Q74 74J10 74B10 74B20 35A01 35A02 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chang-Kun; Yang, Jia-Qing; Zhang, Bo A time-dependent interaction problem between an electromagnetic field and an elastic body. (English) Zbl 1447.35309 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 95-118 (2020). MSC: 35Q60 35A15 78A45 74B10 44A10 35B35 35B45 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Gang; Li, Peijun; Zhao, Yue Stability for the inverse source problems in elastic and electromagnetic waves. (English. French summary) Zbl 1433.35376 J. Math. Pures Appl. (9) 134, 122-178 (2020). MSC: 35Q60 35R30 35R25 78A45 78A46 35Q35 35C08 35Q74 74J25 74B10 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Límaco, Juan; Souza Santos, Beatriz; Rincon, Mauro Antonio Electromagneto-elasticity system with moving boundary. (English) Zbl 1428.35558 Commun. Math. Sci. 17, No. 4, 899-919 (2019). MSC: 35Q60 35L20 34K10 35R37 35A01 35A02 78A40 74F15 74J10 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Feireisl, Eduard; Petcu, Madalina; Pražák, Dalibor Relative energy approach to a diffuse interface model of a compressible two-phase flow. (English) Zbl 1420.35185 Math. Methods Appl. Sci. 42, No. 5, 1465-1479 (2019). MSC: 35Q30 35A02 35D30 35D35 76N10 74F10 76T99 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Fang-Hua; Tong, Jiajun Solvability of the Stokes immersed boundary problem in two dimensions. (English) Zbl 1406.35289 Commun. Pure Appl. Math. 72, No. 1, 159-226 (2019). MSC: 35Q35 76D07 74K05 35B45 35A01 74F10 74B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kudinov, Igor’ Vasil’evich Development of mathematical models and research strongly nonequilibrium developments taking into account space-time nonlocality. (Russian. English summary) Zbl 1424.35200 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 1, 116-152 (2018). MSC: 35K05 80A20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kulkarni, V. S.; Parab, Vinayaki Generalized problem of thermal bending analysis in the Cartesian domain. (English) Zbl 1406.35400 Appl. Appl. Math. 13, No. 1, 130-149 (2018). MSC: 35Q79 35A01 35A02 35K05 74A10 74C05 74F05 34B24 34C10 × Cite Format Result Cite Review PDF Full Text: Link
Barceló, J. A.; Folch-Gabayet, M.; Pérez-Esteva, S.; Ruiz, A.; Vilela, M. C. Uniqueness for inverse elastic medium problems. (English) Zbl 1507.65222 SIAM J. Math. Anal. 50, No. 4, 3939-3962 (2018). MSC: 65N21 74B10 35P25 35A02 35Q74 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Giorgashvili, L.; Zazashvili, S. Boundary value problems of statics of thermoelasticity of bodies with microstructure and microtemperatures. (English) Zbl 1447.35315 Trans. A. Razmadze Math. Inst. 172, No. 1, 30-57 (2018). MSC: 35Q74 74F05 74G22 74G30 74B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Bin; Wang, Ji; Du, Jianke; Guo, Yan; Ma, Tingfeng; Yi, Lijun Extended Kantorovich method for local stresses in composite laminates upon polynomial stress functions. (English) Zbl 1361.74004 Acta Mech. Sin. 32, No. 5, 854-865 (2016). MSC: 74A10 74A40 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Peijun; Wang, Yuliang; Zhao, Yue Convergence analysis in near-field imaging for elastic waves. (English) Zbl 1457.65170 Appl. Anal. 95, No. 11, 2339-2360 (2016). MSC: 65N21 65N12 65N15 42A38 74J20 74J25 74B10 35A01 35A02 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. (English) Zbl 1356.35240 Trans. A. Razmadze Math. Inst. 170, No. 3, 308-351 (2016). MSC: 35Q74 35B65 35S15 45M05 47G30 74A15 74F05 74F15 74G40 74G70 35B40 74B10 78A30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Giorgashvili, L.; Burchuladze, D.; Skhvitaridze, K. Explicit solutions of boundary-value problems of thermoelasticity with microtemperatures for a half-space. (English. Russian original) Zbl 1351.35213 J. Math. Sci., New York 216, No. 4, 538-546 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014). MSC: 35Q74 35J57 74F05 74B10 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Giorgashvili, L.; Burchuladze, D.; Skhvitaridze, K. Representation formula for general solution of a homogeneous system of differential equations. (English. Russian original) Zbl 1351.35212 J. Math. Sci., New York 216, No. 4, 527-537 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014). MSC: 35Q74 74F05 35J57 74B10 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves. (English) Zbl 1423.74443 Comput. Methods Appl. Mech. Eng. 297, 62-83 (2015). MSC: 74J20 35Q74 74B10 74G20 35J25 35J57 35P25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ghadiri Rad, Mohammad Hossein; Shahabian, Farzad; Hosseini, Seyed Mahmoud Geometrically nonlinear elastodynamic analysis of hyper-elastic neo-Hooken FG cylinder subjected to shock loading using MLPG method. (English) Zbl 1403.74286 Eng. Anal. Bound. Elem. 50, 83-96 (2015). MSC: 74S25 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Bogdanov, V. L.; Guz, A. N.; Nazarenko, V. M. Spatial problems of the fracture of materials loaded along cracks (review). (English. Russian original) Zbl 1331.74002 Int. Appl. Mech. 51, No. 5, 489-560 (2015); translation from Prikl. Mekh., Kiev 51, No. 5, 3-89 (2015). MSC: 74-02 74A05 74R10 74A45 74G60 74B99 74G15 × Cite Format Result Cite Review PDF Full Text: DOI
Zakora, Dmitry A. The operator approach to Il’yushin’s models of viscoelastic media under the isothermal processes of deformation. (English. Russian original) Zbl 1301.35181 J. Math. Sci., New York 196, No. 5, 705-720 (2014); translation from Ukr. Mat. Visn. 10, No. 3, 412-432 (2013). MSC: 35Q74 74B10 35D35 35A02 35R09 35P20 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Y.; Chen, S.; Meir, A. J. Steady flow in a deformable porous medium. (English) Zbl 1302.35312 Math. Methods Appl. Sci. 37, No. 7, 1029-1041 (2014). Reviewer: Song Jiang (Beijing) MSC: 35Q35 35-02 76S05 74B10 35D30 35Q74 65N30 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, P. H.; Aliabadi, M. H. Analytical formulation of meshless local integral equation method. (English) Zbl 1349.74340 Appl. Math. Modelling 37, No. 4, 2115-2126 (2013). MSC: 74S05 74B10 65N30 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Martynenko, M. A. Analytical analysis of the stress-strain state of a cylindrical body with a crack. (Ukrainian. English summary) Zbl 1289.74010 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 3, 188-191 (2013). MSC: 74A10 74B10 × Cite Format Result Cite Review PDF
Beheshti-Aval, S. B.; Lezgy-Nazargah, M. A coupled refined high-order global-local theory and finite element model for static electromechanical response of smart multilayered/sandwich beams. (English) Zbl 1293.74255 Arch. Appl. Mech. 82, No. 12, 1709-1752 (2012). MSC: 74K10 74F15 74E30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Raftoyiannis, Ioannis G.; Michaltsos, George T. Local stress distribution and yielding of steel sheets due to concentrated transverse loads. (English) Zbl 1293.74285 Arch. Appl. Mech. 82, No. 10-11, 1613-1626 (2012). MSC: 74K20 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Tian You; Tang, Zhi Yi; Li, Lian He; Li, Wu The strict theory of complex variable function method for sextuple harmonic equation and applications. (English) Zbl 1310.31007 J. Math. Phys. 51, No. 5, 053519, 13 p. (2010). MSC: 31B30 74B10 74C05 74R10 30C20 30E20 20E25 × Cite Format Result Cite Review PDF Full Text: DOI
Eastwood, Michael Ricci curvature and the mechanics of solids. (English) Zbl 1217.53016 Aust. Math. Soc. Gaz. 37, No. 4, 238-241 (2010). Reviewer: A. D. Osborne (Keele) MSC: 53B20 53A20 74B10 53B50 × Cite Format Result Cite Review PDF Full Text: arXiv
Didenko, Victor D.; Silbermann, Bernd Approximation of additive convolution-like operators. Real C*-algebra approach. (English) Zbl 1160.65002 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-7643-8750-1/pbk). xii, 306 p. (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 65-02 65N38 31A10 31A30 35Q15 45A05 45B05 45Exx 45L05 74B10 74G15 47B35 47Gxx 47N40 65E05 65Jxx 65R20 74Kxx 74S15 76D05 76M15 × Cite Format Result Cite Review PDF
Zhen, Wu; Wanji, Chen Refined global-local higher-order theory and finite element for laminated plates. (English) Zbl 1194.74493 Int. J. Numer. Methods Eng. 69, No. 8, 1627-1670 (2007). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Aiki, Toyohiko Well-posedness of the free boundary problem for elastic materials in one-dimensional space. (English) Zbl 1133.35440 Adv. Math. Sci. Appl. 17, No. 2, 369-384 (2007). MSC: 35R35 74D05 74B10 × Cite Format Result Cite Review PDF
Botsis, John; Deville, Michel Mechanics of continuous media: an introduction. (Mécanique des milieux continus: une introduction.) (French) Zbl 1189.74003 Lausanne: Presses Polytechnique et Univ. Romandes (ISBN 2-88074-643-4/hbk). xvi, 272 p. (2006). Reviewer: Albrecht Bertram (Magdeburg) MSC: 74-01 76-01 × Cite Format Result Cite Review PDF
Huang, Y.; Rosakis, A. J. Extension of Stoney’s formula to non-uniform temperature distributions in thin film/substrate systems. The case of radial symmetry. (English) Zbl 1176.74115 J. Mech. Phys. Solids 53, No. 11, 2483-2500 (2005). MSC: 74K35 × Cite Format Result Cite Review PDF Full Text: DOI
Delph, T. J. Local stresses and elastic constants at the atomic scale. (English) Zbl 1139.74401 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2058, 1869-1888 (2005). MSC: 74A25 74A10 74E15 82D25 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Mingguang; Wu, Chunliang; Xu, Xiang; Zhan, Jiemin Nonlinear waves of inviscid fluids in an elastic tube. (Chinese. English summary) Zbl 1153.76337 Acta Sci. Nat. Univ. Sunyatseni 40, No. 5, 6-8 (2001). MSC: 76B15 74B10 × Cite Format Result Cite Review PDF
Sokolov, A. G.; Struzhanov, V. V. A problem of optimizing the stressed state in an elastic solid. (English. Russian original) Zbl 1010.74512 J. Appl. Math. Mech. 65, No. 2, 311-316 (2001); translation from Prikl. Mat. Mekh. 65, No. 2, 317-322 (2001). Reviewer: Ju.N.Podilchuk (Kyïv) MSC: 74A10 74K20 74S30 × Cite Format Result Cite Review PDF
Salençon, Jean Handbook of continuum mechanics. General concepts. Thermoelasticity. Transl. from the French by Stephen Lyle. (English) Zbl 0981.74001 Berlin: Springer. xix, 803 p. (2001). Reviewer: Józef Ignaczak (Warszawa) MSC: 74-00 74F05 74B05 × Cite Format Result Cite Review PDF
Trzȩsowski, A. Congruences of dislocations in continuously dislocated crystals. (English) Zbl 1015.74006 Int. J. Theor. Phys. 40, No. 3, 727-753 (2001). MSC: 74E15 82D25 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Chauvière, Cédric; Owens, Robert G. How accurate is your solution? Error indicators for viscoelastic flow calculations. (English) Zbl 1012.76066 J. Non-Newton. Fluid Mech. 95, No. 1, 1-33 (2000). MSC: 76M22 76A10 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Rüter, Marcus; Stein, Erwin Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity. (English) Zbl 0969.74067 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 519-541 (2000). MSC: 74S05 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, B.; Chou, T.-W. Local elastodynamic stresses in the unit cell of a woven fabric composite. (English) Zbl 0998.74024 Arch. Appl. Mech. 70, No. 6, 423-442 (2000). Reviewer: Hilmi Demiray (İstanbul) MSC: 74E30 74H10 74M20 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, R. J.; Kuttler, K. L.; Shillor, M. Frictional wear of a thermoelastic beam. (English) Zbl 0970.74048 J. Math. Anal. Appl. 242, No. 2, 212-236 (2000). MSC: 74M15 74F05 74K10 74H20 74H25 × Cite Format Result Cite Review PDF Full Text: DOI
Tarantino, Angelo Marcello On the finite motions generated by a mode I propagating crack. (English) Zbl 1005.74055 J. Elasticity 57, No. 2, 85-103 (1999). MSC: 74R10 74H35 74B20 74H10 × Cite Format Result Cite Review PDF Full Text: DOI
Weichert, D.; Hachemi, A.; Schwabe, F. Application of shakedown analysis to the plastic design of composites. (English) Zbl 0968.74022 Arch. Appl. Mech. 69, No. 9-10, 623-633 (1999). MSC: 74E30 74R20 74Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Martinez, Fabienne; Ségura, Jean-Marie; Gay, Daniel Local effects due to warping in straight homogeneous or composite beams. (Effets locaux liés au gauchissement variable dans les poutres homogènes et composites soumises à la flexion.) (French. Abridged English version) Zbl 0960.74038 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 327, No. 7, 653-658 (1999). MSC: 74K10 74S30 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Babuška, Ivo; Andersson, Börje; Smith, Paul J.; Levin, Klas Damage analysis of fiber composites. I: Statistical analysis of fiber scale. (English) Zbl 0956.74048 Comput. Methods Appl. Mech. Eng. 172, No. 1-4, 27-77 (1999). MSC: 74R99 74E30 74Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Ladevèze, P.; Rougeot, Ph.; Blanchard, P.; Moreau, J. P. Local error estimators for finite element linear analysis. (English) Zbl 0967.74066 Comput. Methods Appl. Mech. Eng. 176, No. 1-4, 231-246 (1999). Reviewer: Ladislav Prášek (Plzeň) MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Tekasakul, P.; Tompson, R. V.; Loyalka, S. K. A numerical study of two coaxial axi-symmetric particles undergoing steady equal rotation in the slip regime. (English) Zbl 0942.76086 Z. Angew. Math. Phys. 50, No. 3, 387-403 (1999). MSC: 76U05 76D07 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Robertson, Robert L. Determining residual stress from boundary measurements: A linearized approach. (English) Zbl 0938.74012 J. Elasticity 52, No. 1, 63-73 (1998). MSC: 74B15 74G20 35Q72 74G30 × Cite Format Result Cite Review PDF Full Text: DOI
Dris, Irene M.; Shaqfeh, Eric S. G. Experimental and theoretical observations of elastic instabilities in eccentric cylinder flows: Local versus global instability. (English) Zbl 0973.76558 J. Non-Newtonian Fluid Mech. 80, No. 1, 1-58 (1998). MSC: 76E07 76A10 76-05 × Cite Format Result Cite Review PDF Full Text: DOI
Pai, Perngjin F.; Palazotto, Anthony N.; Greer, James M. jun. Polar decomposition and appropriate strains and stresses for nonlinear structural analysis. (English) Zbl 0934.74047 Comput. Struct. 66, No. 6, 823-840 (1998). MSC: 74K99 74A99 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Jirásek, Milan Nonlocal models for damage and fracture: Comparison of approaches. (English) Zbl 0930.74054 Int. J. Solids Struct. 35, No. 31-32, 4133-4145 (1998). MSC: 74R20 74-02 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Jiangtian; Jordan, Eric H.; Walker, Kevin P. A higher order subdomain method for finding local stress fields in composites. (English) Zbl 0973.74662 Int. J. Solids Struct. 35, No. 36, 5189-5203 (1998). MSC: 74S30 74E30 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Payten, W. M.; Ben-Nissan, B.; Mercer, D. J. Optimal topology design using a global self-organisational approach. (English) Zbl 0927.74053 Int. J. Solids Struct. 35, No. 3-4, 219-237 (1998). MSC: 74P05 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jian; Li, Sijian Torsion of composite laminated bars with a large number of layers. (English) Zbl 0967.74551 Appl. Math. Mech., Engl. Ed. 19, No. 6, 585-591 (1998). MSC: 74K10 74E30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Poulsen, Peter Noe; Damkilde, Lars Direct determination of asymptotic structural postbuckling behaviour by the finite element method. (English) Zbl 0904.73063 Int. J. Numer. Methods Eng. 42, No. 4, 685-702 (1998). MSC: 74S05 74G60 × Cite Format Result Cite Review PDF Full Text: DOI
Suong Van Hoa; Feng, Wei Hybrid finite element method for stress analysis of laminated composites. (English) Zbl 0908.73001 Boston, MA: Kluwer Academic Publishers. x, 298 p. Dfl 365.00; £109.00; $ 160.00 (1998). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 74-02 74S05 74E30 74B10 × Cite Format Result Cite Review PDF
Li, Xiaoyu; Liu, Dahsin Generalized laminate theories based on double superposition hypothesis. (English) Zbl 0905.73040 Int. J. Numer. Methods Eng. 40, No. 7, 1197-1212 (1997). Reviewer: M.C.Dökmeci (İstanbul) MSC: 74E30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI