On Multiscale Damage Modelling of Heterogeneous Materials Using Nonlocal Continuum Theory

Abstract

An overview of the modelling of quasi-brittle as well as ductile damage is given. The multiscale procedure employing the nonlocal continuum theory is described in more detail. The softening is introduced at the microlevel in the microstructural volume element and after that the homogenization procedure state variables are mapped at the macrolevel material point via the scale transition approach. In the case of quasi-brittle softening the C1 continuous finite element discretization is applied at both micro- and macrolevel. At the modelling of ductile damage response, the macrolevel is also discretized by the C1 finite element formulation, while the microscale utilizes quadrilateral mixed finite elements employing the nonlocal equivalent plastic strain and gradient-enhanced elastoplasticity. All approaches presented are verified in the standard examples.

A Review on Nonlocal Theories in Fatigue Assessment of Solids

“…In 2021, Soric et al [ 95 ] reviewed multiscale damage modeling for quasi-brittle and ductile materials by employing nonlocal damage models such as an equivalent strain tensor, as defined in Equation (11). They considered both micro- and macro-levels for finite element discretization, and standard examples were used for verification.…”

Subsea jumper damage detection based on fractal analysis and modal characteristics

“…However, extended exposure to ocean currents inevitably induces vortex-induced vibrations, resulting in stress concentration and fatigue damage, leading to crack formation [1]. In addition, the transportation of multiphase mixtures can subject subsea jumpers to cyclic stress due to the oscillations of gas and liquid plugs, potentially causing pipeline instability, decreased strength, and fatigue damage [2][3][4][5][6]. Therefore, monitoring and maintaining jumpers is crucial for the long-term safety and reliability of subsea oil and gas production systems.…”