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We present results of a two-scale model of disordered cellular materials where we describe the microstructure in an idealized manner using a beam network model and then make a transition to a Cosserat-type continuum model describing the…

Materials Science · Physics 2017-08-15 Stefan Liebenstein , Michael Zaiser

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

Materials Science · Physics 2021-04-06 I. I. Tagiltsev , A. V. Shutov

A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed approach are demonstrated by computing…

Mathematical Physics · Physics 2023-05-18 Nunziante Valoroso

The purpose of this paper is to propose a continuum micromechanics model for the simulation of uniaxial compressive and tensile tests on lime-based mortars, in order to predict their stiffness, compressive and tensile strengths, and tensile…

Materials Science · Physics 2016-12-07 Václav Nežerka , Jiří Nemeček , Jan Zeman

In this paper, a novel kinematic framework for fiber-reinforced composite materials is presented. For this purpose, we use the multiple natural configurations in conjunction with the multi-continuum theory of Bedford and Stern~(1972).…

Classical Physics · Physics 2026-05-25 Sandipan Paul Shivam

Constitutive models play a crucial role in materials science as they describe the behavior of the materials in mathematical forms. Over the last few decades, the rapid development of manufacturing technologies have led to the discovery of…

Materials Science · Physics 2024-10-17 Xinxin Wu , Yin Zhang , Sheng Mao

This paper is concerned with the energy decomposition of various nonlocal models, including elasticity, thin plates, and gradient elasticity, to arrive at bond-based nonlocal models in which the bond force depends only on the deformation of…

Classical Physics · Physics 2023-07-24 Huilong Ren , Timon Rabczuk , Xiaoying Zhuang , Zhiyuan Li

Constructed facilities should be robust with respect to the loss of load-bearing elements due to abnormal events. Yet, strengthening structures to withstand such damage has a significant impact on construction costs. Strengthening costs…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Andre T. Beck , Lucas da Rosa Ribeiro , Marcos Valdebenito , Hector Jensen

Structural elements made of laminated hardwood are increasingly used in timber engineering. In this combined numerical and experimental approach, damage onset and propagation in uni-directional and cross-laminated samples out of European…

Materials Science · Physics 2015-03-16 Mohammad Masoud Hassani , Falk K. Wittel , Samuel Ammann , Peter Niemz , Hans J. Herrmann

This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potentials in multiple spatial dimensions. While the standard…

Computational Engineering, Finance, and Science · Computer Science 2023-02-10 Daniel Balzani , Maximilian Köhler , Timo Neumeier , Malte A. Peter , Daniel Peterseim

The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the discrete system of equations is counteracted by…

Computational Engineering, Finance, and Science · Computer Science 2021-02-18 Philipp Junker , Johannes Riesselmann , Daniel Balzani

A novel finite element formulation for gradient-regularized damage models is presented which allows for the robust, efficient, and mesh-independent simulation of damage phenomena in engineering and biological materials. The paper presents a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-16 Johannes Riesselmann , Daniel Balzani

In this paper, a force-based beam finite element model based on a modified higher-order shear deformation theory is proposed for the accurate analysis of functionally graded beams. In the modified higher-order shear deformation theory, the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-15 Wenxiong Li , Huiyi Chen , Suiyin Chen , Zhiwei Liu

Predicting the forced vibration response of nonlinear mechanical systems with friction is critical for engineering applications. Accurately determining the backbone curve of resonance peaks is pivotal for the design of friction devices.…

Classical Physics · Physics 2026-02-03 Wei Wen , Wenkai Qi , Weidong Wen

We implement a computational periporomechanics model for simulating localized failure in unsaturated porous media. The coupled periporomechanics model is based on the peridynamic state concept and the effective force state concept. The…

Numerical Analysis · Mathematics 2021-07-07 Shashank Menon , Xiaoyu Song

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

We present a finite element modelling approach for unidirectional Fused Filament Fabrication (FFF)-printed specimens under tensile loading. In this study, the focus is on the fracture behaviour, the goal is to simulate the mechanical…

Computational Physics · Physics 2025-02-28 Simon Seibel , Josef Kiendl

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

Numerical Analysis · Mathematics 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López

We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces in multi-ply multi-directional composite laminates. In…

Computational Engineering, Finance, and Science · Computer Science 2020-08-21 Gourab Ghosh , Ravindra Duddu , Chandrasekhar Annavarapu

In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one-dimensional setup. For the…

Analysis of PDEs · Mathematics 2021-05-25 Elena Bonetti , Cecilia Cavaterra , Francesco Freddi , Filippo Riva