Titlebook: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems; In Honor of Michael Kerstin Weinberg,Anna Pandolfi Book 2016 Spr

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A Tensegrity Paradigm for Minimal Mass Design of Roofs and Bridges,configurations of axially-loaded members) in two-dimensions. This provides minimal mass bridge structures in the plane. The mass minimization problem considers a distributed loading condition, under buckling and yielding constraints. The minimal mass structure is proved to be a tensegrity system wit

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Free Energy, Free Entropy, and a Gradient Structure for Thermoplasticity,ative of the free energy divided by the temperature, is similarly important. The derivatives of the free energy are suitable thermodynamical driving forces for reversible (i.e. Hamiltonian) parts of the dynamics, while for the dissipative parts the derivatives of the free entropy are the correct dri

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Quasi-Static Evolutions in Brittle Fracture Generated by Gradient Flows: Sharp Crack and Phase-Fiel. First, we will consider the case of a brittle crack running along a straight line according to Griffith’s law. Then, we will see how the same approach leads to quasi-static evolutions in the phase field setting, taking into account the alternate minimization scheme. In the latter, the norm associa

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Meshfree Methods Applied to Consolidation Problems in Saturated Soils,consolidation problems in saturated soils. This numerical scheme has been previously validated for purely elasticity problems without water (mono phase), as well as for steady seepage in elastic porous media. Hereinafter, the model is validated for well known consolidation theoretical problems, both

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A Multiscale Microstructural Model of Permeability in Fractured Solids,lts. Faults are originated by the attainment of a resistance threshold under the action of a confinement pressure over an initially undamaged, fully elastic matrix, not necessarily isotropic. The initially undamaged matrix might possess a natural permeability, which is modified by the progressive da

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Robust Numerical Schemes for an Efficient Implementation of Tangent Matrices: Application to Hypereosen). An efficient algorithmic treatment is presented which enables a straightforward implementation of the method in any standard finite-element program. By means of hyperelastic, finite strain elastoplastic, and thermo-elastoplastic boundary value problems, the performance of the proposed approac

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Free Energy, Free Entropy, and a Gradient Structure for Thermoplasticity,ty of deriving time-incremental minimization procedures, where the entropy-production potential minus the total entropy is minimized with respect to the internal variables and the temperature. We also highlight that the usage of an auxiliary temperature as an integrating factor in [.] serves exactly