In this paper we introduce constitutive artificial neural networks (CANNs), a novel machine learning architecture for data-driven modeling of the mechanical behavior materials. CANNs are able to incorporate by their very design information from three different sources, namely stress-strain data, theoretical knowledge materials theory, and diverse additional (e.g., about microstructure or processing). can easily efficiently be implemented in standard computational software. They require only...

This paper proposes a computational framework to describe the biodegradation of magnesium (Mg)-based bone implants. It is based on sequential combination two models: an electrochemical corrosion model compute mass loss implant over several weeks combined with mechanical assess its residual strength. The first uses peridynamic (PD) tackle complex moving boundary corroding material in efficient manner. results this simulation are mapped finite element (FE) by way damage variable. Subsequently,...

Abstract Peridynamic (PD) models are commonly implemented by exploiting a particle-based method referred to as standard scheme. Compared numerical methods based on classical theories (e.g., the finite element method), PD using meshfree scheme typically computationally more expensive mainly for two reasons. First, nonlocal nature of requires advanced quadrature schemes. Second, non-uniform discretizations inaccurate and thus avoided. Hence, very fine uniform applied in whole domain even cases...

Static and dynamic mechanical instabilities were previously suggested, then rejected, as mediators of aneurysmal development, which leaves open the question underlying mechanism. In this paper, we suggest a new paradigm interpretation aneurysms mechanobiological instabilities. For illustrative purposes, compare analytical calculations with computational simulations growth remodelling idealized fusiform abdominal aortic experimental clinical findings. We show that concept stability is...

Arp2/3 complex-mediated actin assembly at cell membranes drives the formation of protrusions or endocytic vesicles. To identify mechanism by which different membrane deformations can be achieved, we reconstitute basic deformation modes inward and outward bending in a confined geometry encapsulating minimal set cytoskeletal proteins into giant unilamellar Formation is favoured low capping protein (CP) concentrations, whereas negatively bent domains promoted high CP concentrations. Addition...

The constitutive modelling of soft biological tissues has rapidly gained attention over the last 20 years. Current models can describe mechanical properties arterial tissue. Predicting these from microstructural information, however, remains an elusive goal. To address this challenge, we are introducing a novel hybrid framework that combines advanced theoretical concepts with deep learning. It uses data tests, histological analysis and images second-harmonic generation. In first proof...

Abstract Many additive manufacturing (AM) technologies rely on powder feedstock, which is fused to form the final part either by melting or chemical binding with subsequent sintering. In both cases, process stability and resulting quality depend dynamic interactions between particles a fluid phase, i.e., molten metal liquid binder. The present work proposes versatile computational modeling framework for simulating such coupled microfluid-powder dynamics problems involving thermo-capillary...

The constitutive behavior of polymeric materials is often modeled by finite linear viscoelastic (FLV) or quasi-linear (QLV) models. These popular models are simplifications that typically cannot accurately capture the nonlinear materials. For example, success attempts to strain (rate)-dependent has been limited so far. To overcome this problem, we introduce Constitutive Artificial Neural Networks (vCANNs), a novel physics-informed machine learning framework for anisotropic viscoelasticity at...

Abstract Cardiac growth and remodeling (G&R) patterns change ventricular size, shape, function both globally locally. Biomechanical, neurohormonal, genetic stimuli drive these through changes in myocyte dimension fibrosis. We propose a novel microstructure-motivated model that predicts organ-scale G&R the heart based on homogenized constrained mixture theory. Previous models, kinematic theory, reproduced consequences of bulk myocardial tissue by prescribing direction extent but...

The viscoelastic response of living cells is largely determined by heterogenous networks cross-linked and bundled actin filaments. quantitative impact such local network heterogeneities studied best in well-defined vitro model systems employing microscopic micromechanical techniques. In this study, we show that reconstituted α-actinin/actin exhibit a structural polymorphism, which dictated two types mesoscopic heterogeneities: composite bundle phase at intermediate α-actinin concentrations...

Abstract We present a family of approximation schemes, which we refer to as second‐order maximum‐entropy ( max‐ent ) schemes , that extends the first‐order local consistency. This method retains fundamental properties namely shape functions are smooth, non‐negative, and satisfy weak Kronecker‐delta property at boundary. last makes imposition essential boundary conditions in numerical solution partial differential equations trivial. The evaluation is not explicit, but it very efficient...

Abstract Diffusion-type problems in (nearly) unbounded domains play important roles various fields of fluid dynamics, biology, and materials science. The aim this paper is to construct accurate absorbing boundary conditions (ABCs) suitable for classical (local) as well nonlocal peridynamic (PD) diffusion models. main focus the present study on PD formulation. majority models proposed so far are applied bounded only. In study, we propose an effective way handle both with For former, employ a...

Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within defined tolerance around so-called set point. This phenomenon is often referred as homeostasis. In contradiction prominent role homeostasis in various (patho)physiological processes, its underlying micromechanical mechanisms acting on level individual cells fibers remain poorly understood, especially how these microscale lead what we macroscopically call Here, present novel...