Keywords: 74B20; 74G65; 26B25; Rank-one convexity; Polyconvexity; Quasiconvexity; Nonlinear elasticity; Morrey's conjecture; Volumetric-isochoric split;
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Keywords: Tooth contact analysis; Equation of meshing; Bevel gears; Static transmission error; 68U07; 68U20; 74B20; 74S05;
Keywords: Magnetoelasticity; Finite deformation; Membrane; Limit point; Wrinkling; 74B20; 74F15; 74G60; 74K15;
Keywords: Nonlinear elasticity; Rods; Explicit solutions; Bifurcation and buckling; 74B20; 74K10; 74G05; 74G60;
Keywords: 74B20; 74G65; 26B25; Nonlinear elasticity; Invertible stress-strain law; Non-homogeneous deformations; Rank-one connectivity; Loss of ellipticity;
Keywords: 35L65; 35L45; 74B20; Implicit constitutive relation; Riemann problem; Kinetic relations; Wave patterns;
Keywords: Shockwave; Spall; Peridynamic; Nonlocal; Birdstrike; 74J35; 74B20;
Keywords: Nonlinear elasticity; Periodic laminate; Finite element method; Neo-Hookean material; Asymptotic homogenization method; 74B20; 74G05; 74G15; 35Q74;
Keywords: 74A40; 74B20; 74Q15; 74S60; Biological material; Calibration; Constitutive law; Hyperelasticity; Information theory; Variability;
Keywords: 74B20; 74L15; Hyperelasticity; Skeletal muscle tissue; Active strain; Biomechanics;
Keywords: 60H15; 65M60; 97N40; 65C05; 74B20; Monte carlo methods; Uncertainty propagation; Tangent linear models; Partially intrusive methods; Polynomial chaos expansion; Parallel computing;
Keywords: 74B20; 74F15; 74G65; 74K15; Magnetoelasticity; Finite deformation; Membrane; Limit point;
Keywords: 35G31; 34D20; 35A15; 74B20; 74K10; Nonlinear beam equation; Energy transfer between modes; Stability; Compression;
Keywords: 51P05; 74A05; 74A45; 74B20; Finsler geometry; Continuum physics; Elasticity; Fracture; Cavitation;
Keywords: 74−XX; 70H03; 74−04; 74B20; 74S30; 74Q05Pantographic structures; Fiber pull-out test; Lagrangian model; Micro-mechanical model; Second gradient continuum; Nonlinear problems
Keywords: Biaxial extension; Uniaxial extension; Vulcanized rubber; Isotropic; Incompressible; Elasticity74-05; 74A20; 74B20
Keywords: 35B41; 35G50; 35Q74; 74B20; 74G60; 74H40; 74K10Double-beam system; Steady states; Buckling; Nonlinear oscillations; Global attractor
Keywords: Unilateral constraint; Hertzian contact; Hyperelasticity; Projection iterative method; Primal dual active set; Augmented Lagrangian74M15; 74G15; 74B05; 74B20; 74S30; 49M15; 90C53; 90C25; 65K15
Keywords: 74B20; 74G20; 74G99Intrinsic nonlinear elasticity; Boundary conditions; Cauchy–Green strain tensor
Keywords: 35G30; 74B20; 35J35Nonlinear elasticity; Prestressed plates; Bending and stretching energies; Variational methods
Keywords: 74-XX; 70H03; 74-04; 74B20; 74S30; 74Q05Pantographic structures; Lagrangian models; Second gradient continua; Nonlinear problems
A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity
Keywords: 65N12; 65N15; 65N30; 65N50; 74B20; 74G15; 74M99; Cavitation; Quadratic iso-parametric FEM; Error analysis; Meshing strategy; Convergence; Nonlinear elasticity;
Regularity of intrinsically convex W2,2 surfaces and a derivation of a homogenized bending theory of convex shells
Keywords: 53C42; 58D15; 74B20; 74K25; 74Q05; Nonlinear elasticity; Isometric immersions; Homogenization; Positive Gauss curvature; Dimension reduction; Bending theory;
Î-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients
Keywords: 35B27; 74B20; Î-convergence; Nonlinear elliptic systems; Non-uniformly bounded coefficients; Hyperelasticity;
The Monge-Ampère constraint: Matching of isometries, density and regularity, and elastic theories of shallow shells
Keywords: 35B65; 53C24; 74K25; 74B20; Monge-Ampère equation; Isometric continuation; Shallow shells; Nonlinear elasticity; Gamma convergence; Calculus of variations;
Derivation of homogenized Euler-Lagrange equations for von Kármán rods
Keywords: 74B20; 74G65; 74E30; 74K10; 74Q05; Elasticity; Homogenization; Dimension reduction; Convergence of equilibria;
Solitary waves in a peridynamic elastic solid
Keywords: 74J35; 74B20; Solitary waves; Peridynamic; Nonlocal; Elasticity;
Nonlinear Donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates
Keywords: 49J40; 74B20; 74K20Nonlinear plate theory; Donati compatibility conditions; Intrinsic approach
A continuum model of negatively charged rods finely dispersed in a positively charged fluid
Keywords: 46.05.+b; 46.25.Cc; 46.25.Hf; 74A05; 74A20; 74A30; 74A60; 74B20; 74F15; Continuum mechanics; Multi-scale modelling; Elasticity; Electro-mechanics;
A dual-parametric finite element method for cavitation in nonlinear elasticity
Keywords: 65N30; 74B20; 74G55; 74G65; 74M99; 74S05Dual-parametric finite element; Cavitation; Extremely large expansionary deformation; Nonlinear elasticity; Energy minimization; Picard iteration
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity
Keywords: 74B20; 74F15; 74G15Magnetoelasticity; Nonlinear elasticity; Finite deformation; Boundary-value problems; Numerical solution
Weak solutions for nonlinear antiplane problems leading to hemivariational inequalities
Keywords: 74M10; 74M15; 74B20; 49J40; 49J53Antiplane shear deformation; Frictional contact; Nonlinear constitutive law; Weak solution; Hemivariational inequality
Crack growth in polyconvex materials
Keywords: 49J40; 49L25; 35K90; 74B20; 74G65; 74R10Rate-independent problems; Energetic formulation; Time-incremental minimization; Parameterized solutions; Energy-release rate; Griffith fracture criterion; Finite-strain elasticity; Local energetic solution
Formulation and analysis of two energy-consistent methods for nonlinear elastodynamic frictional contact problems
Keywords: 74M15; 74M20; 74M10; 74B20; 74H15; 74S30; 49M15; 90C53Contact and friction; Nonlinear elastodynamics; Time integration schemes; Energy-conserving algorithms
Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – II. Sixth order systems
Keywords: 74B20; 65L15Compound matrices; Eigenfunctions; Stability; Bifurcation; Non-linear elasticity
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
Keywords: 74G65; 74G70; 74B20; 49K20; 35J50Cavitation; Elasticity; Singular; Radial minimizer; Liquid crystals
Fully explicit Agmon's condition for general states of a special incompressible elastic material
Keywords: 74B20; Agmon's condition; Quasiconvexity at the boundary; Incompressibility;
Harmonic wave generation in non linear thermoelasticity by variational iteration method and Adomian's method
Keywords: 74B20; 65M99Nonlinear coupled thermoelasticity; Adomian's decomposition method; Variational iteration method
A circular inhomogeneity subjected to non-uniform remote loading in finite plane elastostatics
Keywords: 74B20; 30E25; 30B10Elastic inhomogeneity; Finite elasticity; Non-uniform remote loading; Complex-variable methods
The effect of fiber recruitment on the swelling of a pressurized anisotropic non-linearly elastic tube
Keywords: 74A40; 74B20; 74F10; Swelling; Non-linear elasticity; Fiber recruitment; Constitutive behavior; Soft tissue biomechanics;
On the cavitation of a swollen compressible sphere in finite elasticity
Keywords: 37K50; 74B20; 74E99; 74G05; 74A45; Cavitation; Compressible elastic solids; Swelling; Bifurcation; Exact solutions;
Approximation of bone remodeling models
Keywords: 74B20; 74K10; 74L15; 65M60; 65N12; Adaptive elasticity; Functional spaces; Galerkin and Euler methods; Rod;