Search Results - Numerical approximation of solutions of dynamical problems in solid mechanics
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1
Authors:
Source: Applied Mathematics and Mechanics. 45:2023-2036
Subject Terms: safe domain boundary, Random vibrations in dynamical problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Monte Carlo simulation (MCS), Other numerical methods in solid mechanics, first-passage time probability, radial basis function neural network (RBF-NN), nonlinear stochastic dynamic system
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2
Authors:
Source: Journal of Nonlinear Science. 35
Subject Terms: energy stability, regularized solid-state dewetting, Applications to the sciences, parametric finite element method, Numerical approximation of solutions of dynamical problems in solid mechanics, contact line migration, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, surface diffusion, strongly anisotropic surface energy
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3
Authors: et al.
Source: Advances in Applied Mathematics and Mechanics. 17:580-598
Subject Terms: Three or more component flows, hydro-elastoplastic model, Numerical approximation of solutions of dynamical problems in solid mechanics, shock wave structure, General theory of ordinary differential operators, shock transition, Shock waves and blast waves in fluid mechanics, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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4
Authors: et al.
Source: Acta Mechanica. 235:4717-4741
Subject Terms: Vibrations in dynamical problems in solid mechanics, rectangular plate, Inhomogeneity in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, saddle-node/Hopf bifurcation, von Kármán geometric nonlinearity, incremental harmonic balance method, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Composite and mixture properties, Plates, frequency response curve, Galerkin method
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5
Authors: et al.
Source: Acta Mechanica. 235:4541-4561
Subject Terms: linear vibration, Galerkin approximation, Caputo fractional derivative, collocation method, Vibrations in dynamical problems in solid mechanics, Nonlinear constitutive equations for materials with memory, polynomial operational matrix, Euler-Bernoulli beam, Newton method, Numerical approximation of solutions of dynamical problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), nonlinear viscoelasticity, Applications of fractional calculus in solid mechanics
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6
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Source: Acta Mechanica. 235:323-335
Subject Terms: stress, moving heat source, Thermal effects in solid mechanics, Electromagnetic effects in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, electric potential, temperature, Rods (beams, columns, shafts, arches, rings, etc.), Crystalline structure, numerical Laplace inversion, Riemann-sum approximation method
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7
Authors: et al.
Source: Meccanica. 58:1849-1868
Subject Terms: experimental verification, cartridge pump, numerical solution, Electromagnetic effects in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, aircraft electro-hydrostatic actuator, envelope method, input torque, spatial cam, Experimental work for problems pertaining to mechanics of deformable solids, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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8
Authors: et al.
Source: Meccanica. 58:1495-1510
Subject Terms: Junctions, dynamic stifness matrix, experimental verification, Vibrations in dynamical problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, resonance frequency, Rods (beams, columns, shafts, arches, rings, etc.), Experimental work for problems pertaining to mechanics of deformable solids, bending-torsion coupling, equivalent continuum beam model, polynomial-nonlinear joint
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9
Authors: et al.
Source: Acta Mechanica. 234:3361-3375
Subject Terms: Junctions, multi-harmonic describing function method, Vibrations in dynamical problems in solid mechanics, nonlinear bending vibration, experimental validation, Numerical approximation of solutions of dynamical problems in solid mechanics, displacement equivalence method, Motion of the gyroscope, nonlinear continuum beam element, Rods (beams, columns, shafts, arches, rings, etc.), Experimental work for problems pertaining to mechanics of deformable solids, dynamic condensation method
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10
Authors: et al.
Contributors: et al.
Source: Engineering Analysis with Boundary Elements. 146:263-283
Subject Terms: multilayered microbeam, Numerical approximation of solutions of dynamical problems in solid mechanics, Free vibration, Multilayered microbeam, axially functionally graded core layer, 02 engineering and technology, 01 natural sciences, elastic support, free vibrations, Vibrations in dynamical problems in solid mechanics, Axially functionally graded core layer, Modified couple stress theory, non-uniform mass, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Free vibrations, Elastic support, 0210 nano-technology, modified couple stress theory, Non-uniform mass
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Authors: et al.
Source: Journal of Scientific Computing. 96
Subject Terms: projection-iteration algorithm, Nonlinear constitutive equations for materials with memory, Numerical approximation of solutions of dynamical problems in solid mechanics, Smoothness and regularity of solutions to PDEs, multi-contact zones, finite element method, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, dynamic contact problem, error estimates, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids
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12
Authors:
Source: SIAM Journal on Numerical Analysis. 41:1487-1504
Subject Terms: thermoviscoelasticity, Thermal effects in solid mechanics, penalty method, 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, contact problem, Linear constitutive equations for materials with memory, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 02 engineering and technology, 0101 mathematics, Other numerical methods in solid mechanics, Contact in solid mechanics, 01 natural sciences
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Access URL: https://zbmath.org/2027800
https://doi.org/10.1137/s0036142902403668
https://www.jstor.org/stable/4101179
https://epubs.siam.org/doi/abs/10.1137/S0036142902403668
https://dlnext.acm.org/doi/10.1137/S0036142902403668
https://doi.org/10.1137/S0036142902403668
https://dblp.uni-trier.de/db/journals/siamnum/siamnum41.html#CopettiF03 -
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Authors:
Source: SIAM Journal on Numerical Analysis. 38:80-97
Subject Terms: a priori error estimates, weak formulation, Finite element methods applied to problems in solid mechanics, linear quasistatic compressible viscoelasticity, Volterra integral equations, Numerical approximation of solutions of dynamical problems in solid mechanics, Volterra equation, Johnson paradigm, discontinuous Galerkin method, temporal mesh adaptivity, space-time finite element approximation, 01 natural sciences, second-order partial differential operators, discrete backward problem, Linear constitutive equations for materials with memory, 0101 mathematics
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14
Authors:
Source: Applied Numerical Mathematics. 55:439-457
Subject Terms: Contact problem, Error bounds for initial value and initial-boundary value problems involving PDEs, Thermal effects in solid mechanics, 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, Crank-Nicolson, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Contact in solid mechanics, 01 natural sciences, Thermoelasticity
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15
Authors:
Source: Computational Mechanics. 24:90-99
Subject Terms: elastic half-space, 0203 mechanical engineering, Classical linear elasticity, Numerical approximation of solutions of dynamical problems in solid mechanics, Lamb's point-load problem, integral-transform solution, Surface waves in solid mechanics, surface wave, 02 engineering and technology, 0101 mathematics, Other numerical methods in solid mechanics, concentrated load, 01 natural sciences
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Access URL: http://ui.adsabs.harvard.edu/abs/1999CompM..24...90G/abstract
https://link.springer.com/content/pdf/10.1007%2Fs004660050441.pdf
http://www.mechan.ntua.gr/PERSONEL-DEP/SELIDES%20DEP/GEORGIADIS/publications/52.pdf
https://link.springer.com/article/10.1007/s004660050441
https://core.ac.uk/display/38439045 -
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Authors:
Source: Computers & Mathematics with Applications. 104:14-33
Subject Terms: Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Linear elasticity with initial stresses, Numerical approximation of solutions of dynamical problems in solid mechanics, finite element method, Nonlinear elasticity, wave propagation, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, high frequency dynamics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Numerical computation using splines, 0201 civil engineering, Research exposition (monographs, survey articles) pertaining to numerical analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs, finite elements, splines, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, 0210 nano-technology
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17
Authors:
Source: Acta Mechanica. 232:4729-4745
Subject Terms: Kelvin-Voigt material, Thermal effects in solid mechanics, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Euler-Bernoulli beam, Numerical approximation of solutions of dynamical problems in solid mechanics, out-of-plane vibration, Eringen nonlocal elasticity, 02 engineering and technology, 0210 nano-technology, 7. Clean energy, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), differential quadrature method
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18
Authors: et al.
Contributors: et al.
Source: Computer Methods in Applied Mechanics and Engineering. 191:989-1012
Subject Terms: Inverse problems, Mathematical models, 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, Sensitivity matrix, 02 engineering and technology, 0101 mathematics, Thin bodies, structures, 01 natural sciences, Neural networks, Structural mechanics
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19
Authors:
Source: Acta Mechanica. 232:1709-1728
Subject Terms: Hamilton principle, Inhomogeneity in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Learning and adaptive systems in artificial intelligence, functionally graded material, 02 engineering and technology, active learning algorithm, 0201 civil engineering, Kriging-based system reliability method, parametric excitation, Bolotin method, 0203 mechanical engineering, Stochastic and other probabilistic methods applied to problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), Stability of dynamical problems in solid mechanics
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Authors: A. N. Konovalov
Source: Siberian Mathematical Journal. 38:471-487
Subject Terms: Finite difference methods applied to problems in solid mechanics, adjointly factorized model, Classical linear elasticity, convergence theorem, Numerical approximation of solutions of dynamical problems in solid mechanics, stability estimate, 0101 mathematics, 01 natural sciences, grid approximation
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