The approach on the left does not work for merely statistically periodic microstructures because periodic boundary conditions cannot be prescribed. Instead, macroscopic strains (ū) are imposed on the boundary ∂Ω of the bounding box and the stress response σ̄ is computed on a proper interior subset Ω#β := {x ∈ Ω | dist(x, ∂Ω) > β} shown in red on the far left. This avoids boundary artifacts (stif...

A ortic stiffness has re-emerged over the past 20 years as an important predictor of cardiovascular outcome. Despite this, we still know relatively little about the pathophysiological processes underlying large artery stiffening (ie, arteriosclero-sis). In previous editorials, 1,2 we emphasized that arterioscle-rosis is a distinct pathophysiological entity, separate from atherosclerosis, and sh...

Localised corrosion may considerably impair the load-bearing and deformation capacity of reinforced concrete structures. The Corroded Tension Chord Model allows investigating related effects. model combines effects tension stiffening strain localisation due to a local cross-section loss calculate load-deformation behaviour members entire structural elements containing locally corroded reinforci...

Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A new class is proposed, whose rely on deformation-induced transitions in nodal-topology by formation internal self-contact. The universal nature principle presented, demonstrated for tension, compression, she...

In reinforced concrete elements, tension-stiffening strongly influences deflections and crack-widths at the serviceability limit, plastic hinge rotation ultimate limit. Modeling has shown impact of limit to be particularly important when failure is governed by reinforcement rupture, which been common in ultra-high performance fiber (UHPFRC) elements. It further known that magnitude crack openin...

Abstract This paper investigates the effect of material properties, boundary conditions, and related modeling design uncertainties on fire behavior statically indeterminate reinforced concrete beams slabs by means a parametric study based comprehensive model. model uses properties specified EN 1992‐1‐2, complemented considerations concerning biaxial compressive strength concrete, strain hardeni...