## Displaying similar documents to “Unconstrained finite element for geometrical nonlinear dynamics of shells.”

### Nonlinear modeling of cables with flexural stiffness.

Mathematical Problems in Engineering

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### Multiscale Materials Modelling: Case Studies at the Atomistic and Electronic Structure Levels

ESAIM: Mathematical Modelling and Numerical Analysis

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Although the intellectual merits of computational modelling across various length and time scales are generally well accepted, good illustrative examples are often lacking. One way to begin appreciating the benefits of the multiscale approach is to first gain experience in probing complex physical phenomena at one scale at a time. Here we discuss materials modelling at two characteristic scales separately, the atomistic level where interactions are specified through classical potentials...

### Deformation calculating of electromagnetic launcher's rail subjected to sinusoidal magnetic pressure.

Mathematical Problems in Engineering

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### Modeling and simulations of collapse instabilities of microbeams due to capillary forces.

Mathematical Problems in Engineering

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### A three dimensional finite element method for biological active soft tissue formulation in cylindrical polar coordinates

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A hyperelastic constitutive law, for use in anatomically accurate finite element models of living structures, is suggested for the passive and the active mechanical properties of incompressible biological tissues. This law considers the passive and active states as a same hyperelastic continuum medium, and uses an activation function in order to describe the whole contraction phase. The variational and the FE formulations are also presented, and the FE code has been validated and applied...

### Cohesive crack tip modelling: size-scale transition from ductile to brittle failure

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The nature of the crack and the structure behaviour can range from ductile to brittle depending on tensile strength and fracture toughness of the material, as well as on the size-scale of the solid body. Strength and toughness present in fact different physical dimensions and any consistent fracture criterion must consider energy dissipation both per unit of volume and per unit of crack area. A cohesive crack model is proposed aiming at describing the size effects of fracture mechanics,...

### Fracture mechanics as applied to plain and reinforced concrete with particular reference to scaling of experimental data

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Whereas in elasticity and plasticity geometrically similar structures behave in the same way, when strain-softening and strain-localization are taken into account the structural behaviour ranges from ductile to brittle merely by increasing size and keeping material properties and geometrical shape unchanged. The size-scale of plain and reinforced concrete elements has often revealed a fundamental influence on the global structural behaviour. This has been theoretically predicted and...

### Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.

Mathematical Problems in Engineering

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### Flaw identification in elastic solids: theory and experiments.

Extracta Mathematicae

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In this work the problem of identificating flaws or voids in elastic solids is addressed both from a theoretical and an experimental point of view. Following a so called inverse procedure, which is based on appropriately devised experiments and a particular bounding of the strain energy, a gap functional for flaw identification is proposed.