In variational phase-field modeling of brittle fracture, the functional to be minimized is not
convex, so that the necessary stationarity conditions of the functional may admit multiple …

Simulating structures with history-dependent material models and uncertain material
parameters is often computationally expensive. In contrast, the time-separated stochastic …

Solution of large‐scale nonlinear stochastic mechanics problems such as plasticity is
generally very expensive. In this work, a domain decomposition based scalable method is …

Stochastic methods have recently been the subject of increased attention in Computational
Mechanics for their ability to account for the stochasticity of both material parameters and …

Presented is a time domain intrusive framework for probabilistic seismic risk analysis.
Seismic source characterization is mathematically formulated. Methodology for simulating …

Due to the inherent uncertainties in various systems, deterministic approaches may not be
able to satisfactorily characterize their response. In such cases, stochastic approaches that …

A special aspect of parameter identification in finite‐strain elasto‐plasticity is considered.
Namely, we analyze the impact of the measurement errors on the resulting set of material …

Material and geometrical properties have a major influence on the structural behavior of
geometric nonlinear shell structures. Therefore, uncertain structural parameters have to be …

In this work we present an upscaling technique for multi-scale computations based on a
stochastic model calibration technique. We consider a coarse scale continuum material …

This paper is concerned with a class of mixed random variational inequalities that involve a
ω-dependent bilinear form and a ω-dependent convex function on a convex constraint set …