A simple extension of Timoshenko beam model to describe dissipation in cementitious elements

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Micromechanical theories (74A60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

Unnamed Item
A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model
Frictional energy dissipation in materials containing cracks
Geometrically nonlinear higher-gradient elasticity with energetic boundaries
An energy-based method to determine material constants in nonlinear rheology with applications
On vectorially parameterized natural strain measures of the nonlinear Cosserat continuum
Boundary conditions at fluid-permeable interfaces in porous media: a variational approach
The hysteresis Bouc-Wen model, a survey
A simple non-linear model for internal friction in modified concrete
Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
Forms of the dissipation function for a class of viscoplastic models
Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
Material characterization and computations of a polymeric metamaterial with a pantographic substructure
Maximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solids
An application of Coulomb-friction model to predict internal dissipation in concrete
A variational formulation for one-dimensional linear thermoviscoelasticity
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets
Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates
Multidimensional coupling: a variationally consistent approach to fiber-reinforced materials
A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution
Lagrangian descriptions of dissipative systems: a review
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables
In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials
A discrete formulation of Kirchhoff rods in large-motion dynamics
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
Node-dependent kinematic models applied to reinforced concrete structures
Fluid diffusion related aging effect in a concrete dam modeled as a Timoshenko beam
Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem
Sensitivity of a homogeneous and isotropic second‐gradient continuum model for particle‐based materials with respect to uncertainties
Second-gradient continua: from Lagrangian to Eulerian and back

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