Found 368 Documents (Results 1–100)
Nonconforming finite element methods for two-dimensional linearly elastic shallow shell model. (English) Zbl 07800012
Implicit differentiation-based reliability analysis for shallow shell structures with the boundary element method. (English) Zbl 1539.74509
Eng. Anal. Bound. Elem. 156, 223-238 (2023); corrigendum ibid. 157, 166 (2023).
Solvability of nonlinear equilibrium problems for Timoshenko-type shallow shells in curvilinear coordinates. (English) Zbl 1541.35494
Carrera unified formulation (CUF) for the shells of revolution. II: Navier close form solutions. (English) Zbl 1528.74070
Reviewer: V. L. Leontiev (Sankt-Peterburg)
Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading. (English) Zbl 1512.74031
A mathematical analysis method for bending problem of clamped shallow spherical shell on elastic foundation. (English) Zbl 07633868
Free and forced vibrations of functionally graded shallow shells based on the 3D elasticity theory. (English) Zbl 1505.74078
Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment. (English) Zbl 1503.74035
Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan. (English) Zbl 07601734
MSC:
74-XX
Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models. (English) Zbl 1510.74124
On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle. (English) Zbl 1509.35309
Geometrically nonlinear models of static deformation of micropolar elastic thin plates and shallow shells. (English) Zbl 07813056
Dynamics of curved laminated glass composite panels under impact loading. (English) Zbl 1506.74231
Altenbach, Holm (ed.) et al., Nonlinear mechanics of complex structures. From theory to engineering applications. Cham: Springer. Adv. Struct. Mater. 157, 91-101 (2021).
Experimental and numerical studies on nonlinear vibrations and dynamic snap-through phenomena of bistable asymmetric composite laminated shallow shell under center foundation excitation. (English) Zbl 1494.74032
Lower dimensional approximation of eigenvalue problem for piezoelectric shells with nonuniform thickness. (English) Zbl 1467.74059
Micropolar theory of shells and plates. (English) Zbl 1475.74003
Foundations of Engineering Mechanics. Cham: Springer (ISBN 978-3-030-71325-6/hbk; 978-3-030-71326-3/ebook). xvi, 172 p. (2021).
Reviewer: V. Leontiev (Saint-Petersburg)
Stacking sequence optimization of composite cylindrical panels by sequential permutation search and Rayleigh-Ritz method. (English) Zbl 1482.74144
Reviewer: Igor Bock (Bratislava)
Nonlinear oscillation of a FG cylindrical shell on a discontinuous elastic foundation. (English) Zbl 1494.74028
Lacarbonara, Walter (ed.) et al., New trends in nonlinear dynamics. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume III. Cham: Springer. 79-88 (2020).
On buckling behavior of inhomogeneous shallow spherical caps with elastically restrained edge. (English) Zbl 1473.74042
Altenbach, Holm (ed.) et al., Analysis of shells, plates, and beams. A state of the art report. Dedicated to George Jaiani on the occasion of his 75th birthday. Cham: Springer. Adv. Struct. Mater. 134, 65-74 (2020).
Lower dimensional approximation of eigenvalue problem for thin elastic shells with nonuniform thickness. (English) Zbl 1468.74034
Static thermal stability of a shallow geometrically irregular shell made of orthotropic temperature-sensitive material. (Russian. English summary) Zbl 1463.74045
Uniqueness of solution to the von Karman equations with free boundary conditions. (English) Zbl 1451.74161
Role of a uniform magnetic field on the energy spectrum of a single donor in a core/shell spherical quantum dot. (English) Zbl 1539.81146
Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads. (English) Zbl 1461.74045
Mathematical models of higher orders. Shells in temperature fields. (English) Zbl 1436.74001
Advances in Mechanics and Mathematics 42. Cham: Springer (ISBN 978-3-030-04713-9/hbk; 978-3-030-04714-6/ebook). xii, 470 p. (2019).
Reviewer: Girish Kumar Ramaiah (Bangalore)
Justification and solvability of dynamical contact problems for generalized Marguerre-von Kármán shallow shells. (English) Zbl 1538.74100
Nonlinear free vibration of reticulated shallow spherical shells taking into account transverse shear deformation. (English) Zbl 1416.74068
Static bistability of spherical caps. (English) Zbl 1402.70008
MSC:
70E50
Stability of the parametric vibrations of a shell in the form of a hyperbolic paraboloid. (English. Russian original) Zbl 1397.74085
Int. Appl. Mech. 54, No. 3, 274-286 (2018); translation from Prikl. Mekh., Kiev 54, No. 3, 36-49 (2018).
On the neutral stability curve for shallow conical shells subjected to lateral pressure. (English) Zbl 1395.74038
Regimes of wrinkling in pressurized elastic shells. (English) Zbl 1404.74101
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2093, Article ID 20160330, 20 p. (2017).
Bifurcation instabilities in finite bending of circular cylindrical shells. (English) Zbl 1423.74421
Asymptotic analysis for a dynamic piezoelectric shallow shell. (English) Zbl 1388.35186
Reviewer: Dongbing Zha (Shanghai)
Mathematical justification of the obstacle problem for a piezoelectric shallow shell. (English) Zbl 1382.35298
Asymptotic approximations for pure bending of thin cylindrical shells. (English) Zbl 1386.74088
Z. Angew. Math. Phys. 68, No. 4, Paper No. 82, 20 p. (2017); erratum ibid. 68, No. 4, Paper No. 99, 1 p. (2017).
Nonlinear thermo-mechanical stability of eccentrically stiffened functionally graded material sandwich doubly curved shallow shells with general sigmoid law and power law according to third-order shear deformation theory. (English) Zbl 1374.74089
Nonlinear stability of sensor elastic element-corrugated shallow spherical shell in coupled multi-field. (English) Zbl 1367.74036
Asymptotic justification of dynamical equations for generalized Marguerre-von Kármán anisotropic shallow shells. (English) Zbl 1365.74088
Analysis of shallow hyperbolic shell by different kinds of wavelet elements based on B-spline wavelet on the interval. (English) Zbl 1452.74078
Initial imperfection influence on the buckling load of closed elastic isotropic shallow conical shells. (English) Zbl 1370.74064
Global existence and uniqueness of weak and regular solutions of shallow shells with thermal effects. (English) Zbl 1362.58011
Reviewer: Mohammed El Aïdi (Bogotá)
Stress-strain state of rectangular shallow shells of variable thickness under various boundary conditions. (Russian. English summary) Zbl 1363.74004
Recent developments in anisotropic heterogeneous shell theory. Applications of refined and three-dimensional theory – Volume IIB. (English) Zbl 1353.74001
SpringerBriefs in Applied Sciences and Technology. Continuum Mechanics. Singapore: Springer (ISBN 978-981-10-1595-3/pbk; 978-981-10-1596-0/ebook). viii, 108 p. (2016).
Reviewer: Girish Kumar Ramaiah (Bangalore)
Recent developments in anisotropic heterogeneous shell theory. General theory and applications of classical theory – Volume 1. (English) Zbl 1336.74002
Reviewer: Leonid P. Lebedev (Bogotá)
A quadrilateral shallow shell element based on the third-order theory for functionally graded plates and shells and the inaccuracy of rule of mixtures. (English) Zbl 1406.74475
Generalization of I. Vekua reduction method for physically and geometrically non-linear and non-shallow shells. (English) Zbl 1456.74119
Finite element method in equilibrium problems for a nonlinear shallow shell with an obstacle. (English) Zbl 1423.74567
Nonlocal vibrations of shell-type CNT conveying simultaneous internal and external flows by considering slip condition. (English) Zbl 1296.74026
An efficient finite element with layerwise mechanics for smart piezoelectric composite and sandwich shallow shells. (English) Zbl 1398.74428
Bounds on the volume fraction of the two-phase shallow shell using one measurement. (English) Zbl 1455.74061
Acoustic scattering from an elastic spherical shell in an oceanic waveguide with a penetrable bottom. (English) Zbl 1360.76247
An extension of Karman-Donnell’s theory for non-shallow, long cylindrical shells undergoing large deflection. (English) Zbl 1347.74064
Stresses in a shallow spherical shell loaded by two tangential forces through rigid circular inclusions. (Russian, English) Zbl 1313.74004
Mat. Metody Fiz.-Mekh. Polya 56, No. 3, 57-66 (2013); translation in J. Math. Sci., New York 205, No. 4, 554-566 (2015).
Reviewer: A. A. Kaminsky (Kyïv)
Nonlinear axisymmetric thermomechanical response of piezo-FGM shallow spherical shells. (English) Zbl 1293.74082
Some properties of shallow shells with thermal effects. (English) Zbl 1309.35166
Reviewer: Alain Brillard (Riedisheim)
Existence result for a dynamical equations of generalized Marguerre-von Kármán shallow shells. (English) Zbl 1314.74047
Justification of two dimensional model of shallow shells using gamma convergence. (English) Zbl 1273.74182
MSC:
74K25
Quantitative uniqueness estimates for the shallow shell system and their application to an inverse problem. (English) Zbl 1272.35091
Reviewer: Dian K. Palagachev (Bari)
Size estimates of the inverse inclusion problem for the shallow shell equation. (English) Zbl 1264.35280
Shallow-shell models by \(\Gamma\)-convergence. (English) Zbl 07278889
MSC:
74-XX
Nonlinear instability of dished shallow shells under uniformly distributed load. (English) Zbl 1359.74296
The equilibrium problem for a Timoshenko-type shallow shell containing a through crack. (Russian, English) Zbl 1324.74041
Sib. Zh. Ind. Mat. 15, No. 3, 58-69 (2012); translation in J. Appl. Ind. Math. 7, No. 1, 78-88 (2013).
MSC:
74K25
Influence of reinforcement and elastic foundation on the vibrations of shallow shells with rectangular planform. (English. Russian original) Zbl 1295.74040
Int. Appl. Mech. 47, No. 6, 714-719 (2011); translation from Prikl. Mekh. Kiev 47, No. 6, 125-130 (2011).
The analysis of functionally graded shallow and non-shallow shell panels with piezoelectric layers under dynamic load and electrostatic excitation based on elasticity. (English) Zbl 1278.74110
Stress concentration in a transversely isotropic spherical shell with two circular rigid inclusions. (English. Ukrainian original) Zbl 1272.74424
Int. Appl. Mech. 47, No. 4, 441-448 (2011); translation from Prikl. Mekh., Kiev 47, No. 4, 111-118 (2011).
Determining the elastic equilibrium of a cylindrical shell by Vekua’s theory based on the classical elasticity theory and the theory of binary mixtures. (English) Zbl 1271.74295
Effect of material hardening on the stress state of elastico-plastic shell with internal crack. (Ukrainian, English) Zbl 1274.74014
Mat. Metody Fiz.-Mekh. Polya 54, No. 2, 123-128 (2011); translation in J. Math. Sci., New York 184, No. 2, 145-152 (2012).
Reviewer: Ju. N. Shevchenko (Kyïv)
Investigation of the stress-strain state of orthotropic shells under the action of dynamic impulse load. (Ukrainian, English) Zbl 1274.74181
Mat. Metody Fiz.-Mekh. Polya 54, No. 1, 196-203 (2011); translation in J. Math. Sci., New York 183, No. 2, 231-240 (2012).
Nonlinear dynamic response for functionally graded shallow spherical shell under low velocity impact in thermal environment. (English) Zbl 1219.74029
Investigation of deformability of flexible shallow cylindrical shells under critical loading. (Ukrainian. English summary) Zbl 1230.74123
On the application of Muskhelishvili and Vekua-Bitsadze methods for the nonlinear and non-shallow shells. (English) Zbl 1475.74091
Bifurcations and chaos in a periodic time-varying temperature-excited bimetallic shallow shell of revolution. (English) Zbl 1271.74232
Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system. (English) Zbl 1425.74299
Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact. (English) Zbl 1193.74141
Nonlinear free vibration of a moderately thick doubly curved shallow shell of elliptical plan-form. (English) Zbl 1267.74055
Dynamics of an elastic half-space with a reinforced cylindrical cavity under moving loads. (Russian, English) Zbl 1201.74204
Prikl. Mekh., Kiev 45, No. 9, 75-85 (2009); translation in Int. Appl. Mech. 45, No. 9, 981-990 (2009).
Reviewer: Ju. V. Kokhanenko (Kyïv)
Stress-strain solution for shallow shells of varying thickness. (Russian, English) Zbl 1201.74014
Prikl. Mekh., Kiev 45, No. 3, 128 (2009); translation in Int. Appl. Mech. 45, No. 3, 334-335 (2009).
Reviewer: V. I. Guljaev (Kyïv)
A numerical solution of the problem on free vibrations of shallow shells with variable thickness in a refined statement. (Russian. English summary) Zbl 1187.74133
Global existence and uniqueness of weak solution to nonlinear viscoelastic full marguerre-von kármán shallow shell equations. (English) Zbl 1423.74337
Solution of stationary problems of shallow shell theory by the generalized Kantorovich-Vlasov method. (Russian, English) Zbl 1183.74150
Prikl. Mekh., Kiev 44, No. 11, 99-111 (2008); translation in Int. Appl. Mech. 44, No. 11, 1283-1293 (2008).
Reviewer: Ju. N. Shevchenko (Kyïv)
On one mixed boundary value problem for the non-Shallow spherical layer. (English) Zbl 1179.74071
MSC:
74K25
Stress state of rectangular in plan non-thin orthotropic shells of variable thickness. (Russian, English) Zbl 1177.74029
Prikl. Mekh., Kiev 44, No. 8, 91-102 (2008); translation in Int. Appl. Mech. 44, No. 8, 905-915 (2008).
Reviewer: Ju. V. Kokhanenko (Kyïv)
Solvability of a boundary problem in \(H_p^2(\Omega)\) for longitudinal displacements of the median surface of a shell for the Marguerre-Vlasov model. (Russian) Zbl 1177.74266
Reviewer: Andrei Zemskov (Moskva)
MSC:
74K25
Uniqueness of generalized solutions to an initial boundary problem of Marguerre-Vlasov models of oscillations of a hinged hollow shell. (Russian) Zbl 1177.74250
Reviewer: Andrei Zemskov (Moskva)
MSC:
74K25
An approach to the analysis of stress strain state of nonlinear viscoelastic shells and plates with allowance for shear stress. (Russian, English) Zbl 1164.74311
Mat. Metody Fiz.-Mekh. Polya 51, No. 2, 171-174 (2008); translation in J. Math. Sci., New York 162, No. 2, 211-215 (2009).
Reviewer: V. A. Zarutsky (Kyïv)
Thermal buckling of axisymmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear. (English) Zbl 1231.74071
Buckling analysis of shear deformable shallow shells by the boundary element method. (English) Zbl 1195.74216
Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method. (English) Zbl 1173.74333
Investigation of variable thickness orthotropic shallow shells’ geometrical parameters influence on stress-stain state character basing on refined formulation. (Ukrainian. English summary) Zbl 1164.74514
MSC:
74K25
Natural vibrations of rectangular in plan orthotropic shallow shells of variable thickness. (Russian, English) Zbl 1164.74428
Prikl. Mekh., Kiev 43, No. 6, 102-115 (2007); translation in Int. Appl. Mech. 43, No. 6, 670-682 (2007).
Reviewer: V. A. Zarutsky (Kyïv)
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