Circular representative volume elements for strain localization problems

A common choice for multiscale modeling of the mechanical response of composites is to use periodic boundary conditions (PBCs) on square and cubical representative volume elements (RVEs). However, when strain localization occurs in the micromodel, these PBCs are unable to reproduce the transverse isotropy of composite materials with a random...

Circular Microstructural Volume Elements with Periodic Boundary Conditions for Strain Localization Problems

A common choice for multiscale modeling of the mechanical response of composites is to use periodic boundary conditions (BCs) on square representative volume elements (RVEs). However, these periodic BCs over-constrain the response when strain localization takes place in bands that are not compatible with the imposed periodic constraints....

Ductile damage model calibration for high-strength structural steels

Numerical analyses incorporating appropriate damage models provide an opportunity to predict the strength and deformation capacity of steel structures. This paper presents a practical calibration for the ductile damage model of S355 and high-strength steel S690Q, S700MC, S960Q based on tensile coupon test results. A combined linear and power...

Multiscale analysis of damage using dual and primal domain decomposition techniques

In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multiscale strategy essentially consists in decomposing the structure into a number of nonoverlapping domains and considering a refined spatial resolution where needed. In multiscale analysis of...

Multiscale domain decomposition analysis of quasi-brittle materials

Computational material design is progressively gaining momentum in the engineering world. Recent breakthroughs in high performance computing and emerging multiscale algorithms have facilitated the simulation of materials at different scales of observation. In particular, the multiscale study of failure phenomena becomes crucial to assess the...

Objective multiscale analysis of random heterogeneous materials

The multiscale framework presented in [1, 2] is assessed in this contribution for a study of random heterogeneous materials. Results are compared to direct numerical simulations (DNS) and the sensitivity to user-defined parameters such as the domain decomposition type and initial coarse scale resolution is reported. The parallel performance of...

Concurrent multiscale analysis of heterogeneous materials

Concurrent multiscale analysis of quasi-brittle heterogeneous materials such as concrete and rock is conducted employing non-overlapping domain decomposition techniques. Initially a coarse discretization with effective properties is considered at each domain. A zoom-in technique is performed at those domains in which non-linearities take place....

On micro-to-macro connections in strong coupling multiscale modeling of softening materials

In this contribution we describe a methodology for the multiscale analysis of heterogeneous quasi-brittle materials. The algorithm is based on the finite element tearing and interconnecting FETI [1] method cast in a non-linear setting. Adaptive multiscale analysis is accounted for with the use of selective refinement at domains that undergo...

Rotation capacity of self-compacting steel fibre reinforced concrete beams

Steel fibres are known to enhance the toughness of concrete in compression and in tension. Steel fibres also improve the bond properties between concrete matrix and reinforcing steel bars. In order to investigate the effect of steel fibres on the rotation capacity of reinforced concrete members, four simply supported beams were loaded in three...

Computing strain fields from discrete displacement fields in 2D-solids

Experimental monitoring of strain localization and failure behaviour of composite materials

An algorithm for mesh rezoning with application to strain localization problems