Evaluation of Conjugate Stresses to Seth’s Strain Tensors

An explicit expression providing the symmetric stress tensor T(m) conjugate to the Seth’s strain measure E(m) for each integer m unequal 0 is presented. The result is obtained by exploiting an original approach for the solution of a tensor equation in the unknown T(m) expressed as function of the powers of the right stretch tensor U. The proposed approach is based upon the spectral decomposition of U and exploits some peculiar features of the set of fourth-order tensors obtained as linear combination of dyadic and square tensor products of the eigenprojectors of U. On the basis of such properties it is shown that the unknown T(m) can be expressed in the given reference frame as linear combination of six fourth-order tensors scaled through coefficients which are rational functions of the eigenvalues of U

Graded damage in quasi-brittle solids

A novel approach to damage modeling for quasi-brittle solids is presented relying upon a differential inclusion that is closely related to the one of implicit gradient models. The proposed formulation naturally fits in the so-called nonlocal standard approach, whereby the framework of generalized standard materials is extended to include gradients of internal variables to account for the physics of the fracture phenomenon in a regularized sense, that is, via extended constitutive equations in which a length scale parameter brings to the macro level information about material microstructure. This concept is fully embodied into the present approach to quasi-brittle fracture, whereby progressive damage occurs in layers of finite thickness where the gradient of damage is bounded and a fully damaged region is understood as a fracture with no ambiguity. Key to the effective implementation of the model are the choice of two constitutive functions and the implicit tracking of regions in a state of progressive damage via Lagrange multipliers acting on internal constraints. The ideas are developed for a general Cauchy continuum and representative numerical simulations are included that demonstrate the model capabilities

Image Correlation-Based Identification of Fracture Parameters for Structural Adhesives

We consider the identification problem of a cohesive model using kinematic full-field data obtained via digital image correlation during the fracture test of an adhesive joint. A criterion is presented for selecting measurements that exhibit optimal features for identification purposes. The proposed selection scheme is constructed using the sensitivity information and its performances are evaluated at varying noise-to-signal ratio

Critical Behavior of a Three-State Potts Model on a Voronoi Lattice

We use the single-histogram technique to study the critical behavior of the three-state Potts model on a (random) Voronoi-Delaunay lattice with size ranging from 250 to 8000 sites. We consider the effect of an exponential decay of the interactions with the distance,$J(r)=J_0\exp(-ar)$, with $a>0$, and observe that this system seems to have critical exponents $\gamma$ and $\nu$ which are different from the respective exponents of the three-state Potts model on a regular square lattice. However, the ratio $\gamma/\nu$ remains essentially the same. We find numerical evidences (although not conclusive, due to the small range of system size) that the specific heat on this random system behaves as a power-law for $a=0$ and as a logarithmic divergence for $a=0.5$ and $a=1.0$Comment: 3 pages, 5 figure

Nouvelles méthodes d’intégration pour traiter la plasticité en X-FEM

La méthode d’intégration utilisée classiquement en X-FEM fait dépendre la position des points d’intégration de la position de la fissure, ce qui convient difficilement à l’étude de la propagation d’une fissure dans un milieu plastifié. En effet, des étapes de projection de champs sont alors nécessaires. Afin de s’en affranchir, cette contribution propose deux approches alternatives. La première s’appuie sur les schémas d’intégration standards tandis que la seconde propose de différencier les points d’intégration des points où le comportement est évalué. Les méthodes proposées se limitent aux cas des interfaces

The 2009 L’Aquila (central Italy) MW6.3 earthquake: Main shock

A MW 6.3 earthquake struck on April 6, 2009 the Abruzzi region (central Italy) producing vast damage in the L’Aquila town and surroundings. In this paper we present the location and geometry of the fault system as obtained by the analysis of main shock and aftershocks recorded by permanent and temporary networks. The distribution of aftershocks, 712 selected events with ML 2.3 and 20 with ML 4.0, defines a complex, 40 km long, NW trending extensional structure. The main shock fault segment extends for 15–18 km and dips at 45 to theSW, between 10 and 2 km depth. The extent of aftershocks coincides with the surface trace of the Paganica fault, a poorly known normal fault that, after the event, has been quoted to accommodate the extension of the area.We observe a migration of seismicity to the north on an echelon fault that can rupture in future large earthquakes.PublishedL183083.1. Fisica dei terremotiJCR Journalreserve

Geodynamics, geophysical and geochemical observations, and the role of CO2 degassing in the Apennines

An accurate survey of old and new datasets allowed us to probe the nature and role of fluids in the seismogenic processes of the Apennines mountain range in Italy. New datasets include the 1985–2021 instrumented seismicity catalog, the computed seismogenic thickness, and geodetic velocities and strains, whereas data from the literature comprise focal mechanism solutions, CO2 release, Moho depth, tomographic seismic velocities, heat flow and Bouguer gravity anomalies. Most of the inspected datasets highlight differences between the western and eastern domains of the Apennines, while the transition zone is marked by high geodetic strain, prevailing uplift at the surface and high seismic release, and spatially corresponds with the overlapping Tyrrhenian and Adriatic Mohos. Published tomographic models suggest the presence of a large hot asthenospheric mantle wedge which intrudes beneath the western side of the Apennines and disappears at the southern tip of the southern Apennines. This wedge modulates the thermal structure and rheology of the overlying crust as well as the melting of carbonate-rich sediments of the subducting Adriatic lithosphere. As a result, CO2-rich fluids of mantle-origin have been recognized in association with the occurrence of destructive seismic sequences in the Apennines. The stretched western domain of the Apennines is characterized by a broad pattern of emissions from CO2-rich fluids that vanishes beneath the axial belt of the chain, where fluids are instead trapped within crustal overpressurized reservoirs, favoring their involvement in the evolution of destructive seismic sequences in that region. In the Apennines, areas with high mantle He are associated with different degrees of metasomatism of the mantle wedge from north to south. Beneath the chain, the thickness and permeability of the crust control the formation of overpressurized fluid zones at depth and the seismicity is favored by extensional faults that act as high permeability pathways. This multidisciplinary study aims to contribute to our understanding of the fluid-related mechanisms of earthquake preparation, nucleation and evolution encouraging a multiparametric monitoring system of different geophysical and geochemical observables that could lead the creation of a data-constrained and reliable conceptual model of the role of fluids in the preparatory phase of earthquakes in the Apennines

Rapid response to the earthquake emergency of May 2012 in the Po Plain, northern Italy

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Emergenza “L’Aquila2009”: la campagna di acquisizione dati della Rete Sismica Mobile stand-alone del Centro Nazionale Terremoti

Il 6 aprile 2009 (3.32 locali) un terremoto di Mw 6,3 ha colpito la regione Abruzzo (Italia centrale) producendo un enorme danno alla città de L'Aquila e ai paesi limitrofi causando circa 300 morti e 60.000 senza fissa dimora. A seguito di questo evento sismico, la struttura di Pronto Intervento dell’INGV (Istituto Nazionale di Geofisica e Vulcanologia), si è rapidamente attivata installando in area epicentrale due reti sismiche temporanee (Re.Mo.Tel. in real-time e Re.Mo. in stand-alone) ed il Centro Operativo Emergenza Sismica. In questo lavoro presentiamo come si e’ svolta la campagna sismica della Re.Mo., avente l’obiettivo di acquisire dati di alta qualità e dettaglio per studiare le sorgenti sismiche, l’evoluzione spazio temporale della sequenza e caratterizzare attraverso la microsismicita’ le strutture di faglia attivate ed le proprieta’ del mezzo circostante. Saranno descritte nel dettaglio l’installazione compiuta a poche ore dal mainshock, il suo sviluppo legato all’evoluzione della sequenza sismica, fino alla sua dismissione nel Marzo 2010.Istituto Nazionale di Geofisica e VulcanologiaPublished1.1. TTC - Monitoraggio sismico del territorio nazionaleope