Abstract
In this paper, a simple precomputing procedure is proposed to improve the numerical performance of the technological application of critical state soil models. In these models, if associated plasticity is assumed, the normalization of the stress space allows both the yield surface and the plastic components of the elastoplastic matrix to be defined as a function of a single variable. This approach facilitates their parameterization and precomputation, preventing the repetition of calculations when the boundary value problems appear at the yield surface with the calculation of plastic strain. To illustrate the scope of the procedure, its application on a modified Cam Clay model is analysed, which shows that the method allows a significant reduction of about 50% (as compared with the conventional explicit integration algorithm) in the computational time without reducing the precision. Although it is intended for critical state models in soils, the approach can be applied to other materials and types of constitutive models provided that parameterization is possible. It is therefore a methodology of practical interest, especially when a large volume of calculations is required, for example when studying large-scale engineering systems, performing sensitivity analysis, or solving optimization problems.
Highlights
Avelino Núñez-DelgadoSimulation of soil yield processes is often computationally expensive, especially when analysing active clays such as MX-80 bentonite [1], FEBEX bentonite [2], or GMZ bentonite [3]
Since the discretization of the yield surface is proposed with a very demanding tolerance (10−4 in the analyses performed above), it is to be expected that η ∆εe* ≈ η ∆εe and η ∆εep* ≈ η ∆εep
A methodology to parameterise, precompute, approximate the plastic behaviour of awas soilpresented by interpolation
Summary
Simulation of soil yield processes is often computationally expensive, especially when analysing active clays such as MX-80 bentonite [1], FEBEX bentonite [2], or GMZ bentonite [3]. These materials, which usually have a high smectite content, when hydrated unconfined from partially saturated conditions, can undergo deformations of 500%. Even considering the development experienced in recent years by microelectronic technology, which has allowed the multi-core and many-core hybrid heterogeneous parallel computing platform to facilitate a very important advance in computing power, the efficiency of the calculation algorithm continues to be a key issue in the application of massive calculation processes.
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