S U M M A R Y Many unresolved questions in geodynamics revolve around the physical behaviour of the two-phase system of a silicate melt percolating through and interacting with a tectonically deforming host rock. Well-accepted equations exist to describe the physics of such systems and several previous studies have successfully implemented various forms of these equations in numerical models. T...

In this paper, a stress integration algorithm is presented for a generalized elasto-plastic material model governed by the three stress invariants I1, J2 and J3. The methodology is successfully applied to the Mohr–Coulomb material model with a non-associated flow rule and implemented in ADINA.

The dependence of the Weibull stress is investigated on the parameters of the elasticplastic crack tip field. The general form of the Weibull stress is given for a three-parameter approximation of the elasto-plastic crack tip field. This is the basis to define a constraint correction of the critical value of the J-integral for cleavage fracture.

A finite strain element (FE)-based approach to element-free Galerkin (EFG) discretization is introduced, based on a number of simplifications and specialized techniques in the context Lagrangian kernel. In terms discretization, quadratic polynomial basis used, support determined from pre-assigned nodes for each quadrature point points coincide with centroids tetrahedra. Diffuse derivatives are ...

A methodology for interpreting instrumented sharp indentation with dual sharp indenters with different tip apex angles is presented by recourse to computational modeling within the context of finite element analysis. The forward problem predicts an indentation response from a given set of elasto-plastic properties, whereas the reverse analysis seeks to extract elasto-plastic properties from dep...

The presliding displacement and stiction properties of friction models are investigated. It is found that existing single-state-variable friction models possess either stiction or presliding displacement. Next, those models with continuous states are interpreted as examples of Prandlt’s elasto-plastic material model. A class of general one-state models is derived that is stable, dissipative and...

This note presents an extension of the absolute stability problem and of the Lagrange–Dirichlet theorem, when the nonlinearities entering the model are considered within the class of monotone multivalued mappings (consequently including operators with piecewise-linear graphs that may represent physical e3ects like Coulomb friction, dead-zones, saturations, elasto-plasticity, and unilateral cons...

— Under some reasonable smoothness assumpfions on the displacements, we are able to dérive an error estimate of the form ||a — <7h||L2{fl)^ Ch, for the approximation of the stress field a in some problems in elasto-plasticity. Using the same ideas, we als o find a piecewise line ar approximation of Mosolov's problem, for which we still get an 0 (h) error estimate.

Thick coal seam no. 3, block V, Lupeni mine was mined by longwall top caving (LTCC). After the mining, ground surface underwent continuous subsidence, but since 2008, three sinkholes have appeared on with important dimensions, atypical for geo-mining conditions in this basin. This article is a synthesis of study meant to decipher geo-mechanical phenomenon that led emergence these and highlighti...

In this work, we present a deep neural network architecture that can efficiently surrogate classical elasto-plastic constitutive relations. The is enriched with crucial physics aspects of elasto-plasticity, including additive decomposition strains into elastic and plastic parts, nonlinear incremental elasticity. This leads to Physics-Informed Neural Network (PINN) model named here as Elasto-Pla...