Article
Mechanics
Igor A. Rodrigues Lopes, Pedro P. Camanho, Francisco M. Andrade Pires, Albertino Arteiro
Summary: An invariant-based constitutive model for unidirectional composites, including viscous effects in the elastic and plastic regimes at finite strains, is proposed. The model utilizes a multiplicative decomposition of the deformation gradient and an isoclinic configuration to avoid intermediate configuration non-uniqueness. It incorporates visco-elastic behavior through the generalised Maxwell model, with a transversely isotropic yield function and a non-associative plastic potential. Visco-plastic effects are introduced through the Perzyna overstress function. The performance of two algorithms for implicit integration is compared, with the semi-implicit stress update algorithm being faster and the fully implicit stress update algorithm guaranteeing quadratic convergence rate in the Newton-Raphson scheme. The model accurately predicts stress-strain responses for different fiber orientation angles and captures fiber re-orientation due to external loading.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Mathematics, Applied
Giuseppe Maria Coclite, Serena Dipierro, Giuseppe Fanizza, Francesco Maddalena, Enrico Valdinoci
Summary: This study analyzes the interplay between nonlocality and dispersion in a linear equation inspired by peridynamics models. Global dispersive estimates and the existence of conserved functionals are proven through the study of low and high frequency asymptotics. A comparison with the classical local scenario is deepened through numerical analysis.
Article
Mechanics
M. L. Larsen, J. Cesbron, F. Anfosso-Ledee, C. Ropert, J. C. Dyre, T. Hecksher
Summary: This paper introduces a versatile drum setup for measuring rolling resistance of small wheels, demonstrating the relationship between rolling resistance and surface texture, rolling speed, and load. The study shows that simplifying the experiment to achieve a high degree of control, accuracy, and repeatability is useful for validating and testing models for calculating rolling resistance.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2021)
Article
Mathematics, Applied
Fabio Sozio, Arash Yavari
Summary: This paper presents a geometric field theory for dislocation dynamics and finite plasticity in single crystals. The theory describes the distorted lattice structure using differential forms and the primary fields are the dislocation fields. The evolution equations for the internal variables are derived based on the kinematics of the dislocation forms and coupled with the lattice structure through Orowan's equation. The governing equations are obtained using a two-potential approach and constraints are enforced to formulate the dynamics of dislocations on slip systems.
JOURNAL OF NONLINEAR SCIENCE
(2023)
Article
Mechanics
Rafael C. Deptulski, Magdalena Dymitrowska, Djimedo Kondo
Summary: This study evaluates the use of the Corrected Smoothed Particle Hydrodynamics (CSPH) method in predicting non-local elastic effects in finite deformations. The numerical simulations show that CSPH method can capture non-local effects in dynamic conditions and have good agreement with available analytical solutions. Additionally, strain-based and stress-based formulations in CSPH lead to similar responses, and the study discusses the influence of finite and infinite support kernel functions.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Review
Biochemistry & Molecular Biology
Jichul Kim
Summary: This paper reviews continuum theories based on curvature elasticity and lateral surface tension to describe the mechanical deformation of lipid membranes, including curvature deformation and lateral stretching. Numerical methods and biological applications of these theories are also discussed.
Article
Mechanics
Henri Gouin
Summary: It is possible to adapt the invariance properties derived from Noether's theorem or associated with the Lie derivative to fluid mechanics. By analyzing the invariance groups in a four-dimensional reference space representing the Lagrangian variables, a calculation method is utilized which involves the Lie derivative associated with the velocity quadrivector in space-time. This derivative allows for the connection between space-time and the reference space, enabling the analysis of tensor motion with the fluid and the discovery of conservation laws and invariance theorems in fluid mechanics.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Mechanics
A. R. El-Dhaba, A. F. Ghaleb, Mohamed I. M. Hilal
Summary: This work investigates the Flamant-Boussinesq problem for a half-space made of a homogeneous and isotropic dielectric material. Both the dynamical flexoelectric effect and the dynamical flexocoupling between displacement and polarization are considered. The first strain gradient theory of elasticity is used and an analytical harmonic wave solution is obtained. The results are analyzed graphically and the damping phenomenon is discussed.
Article
Mathematics, Applied
Anton M. Krivtsov
Summary: This paper proposes and examines an analogy between mass transfer and energy transfer, using adapted classical equations to describe the dynamic of energy transfer. The introduction of concepts like effective mass, momentum, moment of inertia, carrier, and phantom help in understanding and modeling the dynamics of energy. The study further discusses the possible applications of energy dynamics in quantum mechanics, electrodynamics, and general relativity, as well as the concept of a body of matter being a phantom in a different carrier.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Engineering, Mechanical
Deepak Sharma, I. V. Singh, Jalaj Kumar
Summary: This work investigates the influence of microstructure on the low cycle fatigue (LCF) life of two-phase titanium alloys. It proposes a new strain-based damage evolution law and statistically analyzes the effect of various microstructural parameters on the LCF life.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Chemical
Jun-Hyok Ri, Myong-Ho Kim, Hyon-Sik Hong
Summary: The paper introduces a pressure-dependent elasto-plastic continuum damage model to describe the elastoplastic behavior and gradual damage evolution in single lap joints (SLJ). The model is able to capture both plastic behavior and damage evolution, validated in symmetric and asymmetric SLJs, showing its capability to depict asymmetric damage evolution and crack propagation paths in the adhesive layer.
INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES
(2022)
Article
Engineering, Mechanical
C. K. Cocke, H. Mirmohammad, M. Zecevic, B. R. Phung, R. A. Lebensohn, O. T. Kingstedt, A. D. Spear
Summary: This study extends a large-strain FFT-based crystal plasticity model to simulate ductile fracture of polycrystalline materials. By incorporating a triaxiality-based continuum damage mechanics (CDM) formulation into a large-strain elasto-viscoplastic FFT (LS-EVPFFT) framework and using an integral-based nonlocal regularization approach, the model is able to accurately predict the macroscopic stress-strain response and necking behavior of ductile polycrystals.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Mechanics
Harini Subramanian, Shantanu S. Mulay
Summary: A novel three-dimensional elasto-plastic damage-healing model based on continuum damage mechanics is proposed, with a secondary damage variable and an implicit formulation based on irreversible thermodynamics. The model successfully demonstrates the applicability of the newly introduced framework, providing a physically realistic stress-strain response of self-healing materials.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Geochemistry & Geophysics
Luca Dal Zilio, Betti Hegyi, Whitney Behr, Taras Gerya
Summary: This study presents a newly-developed numerical framework, H-MEC, to simulate the evolution of crustal stress and fluid pressure during the earthquake cycle. The model incorporates the coupling between solid rock deformation and fluid flow, and accounts for dynamic wave-mediated dynamics and fluid flow. The findings highlight the importance of pore-fluid pressure conditions and compressibility in controlling fault slip.
Article
Mathematics, Applied
Gianni Dal Maso, Rodica Toader
Summary: The properties of crack length in pressure-sensitive elasto-plastic materials in the planar case are studied, and it is proven that under suitable technical assumptions, the length is a pure jump function on the crack path.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2022)