Description of mechanical properties of heterogeneous materials by means of mechanical models

1980 ◽  
Vol 258 (12) ◽  
pp. 1367-1376 ◽  
Author(s):  
T. Pakula
Keyword(s):  
Mechanical Properties ◽  
Heterogeneous Materials ◽  
Mechanical Models

scholarly journals Microstructure and Mechanical Properties of Al-Mg-Si Similar Alloy Laminates Produced by Accumulative Roll Bonding

Materials ◽  
2021 ◽  
Vol 14 (15) ◽  
pp. 4200
Author(s):  
Zhigang Li ◽  
Hao Jiang ◽  
Minghui Wang ◽  
Hongjie Jia ◽  
Hongjiang Han ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Accumulative Roll Bonding ◽  
Thin Sheet ◽  
Heterogeneous Materials ◽  
Thick Sheet ◽  
Subsequent Aging ◽  
Roll Bonding ◽  
Roll Casting ◽  
Promotive Effect ◽  
Similar Materials

As the applications of heterogeneous materials expand, aluminum laminates of similar materials have attracted much attention due to their greater bonding strength and easier recycling. In this work, an alloy design strategy was developed based on accumulative roll bonding (ARB) to produce laminates from similar materials. Twin roll casting (TRC) sheets of the same composition but different cooling rates were used as the starting materials, and they were roll bonded up to three cycles at varying temperatures. EBSD showed that the two TRC sheets deformed in distinct ways during ARB processes at 300°C. Major recrystallizations were significant after the first cycle on the thin sheet and after the third cycle on the thick sheet. The sheets were subject to subsequent aging for better mechanical properties. TEM observations showed that the size and distribution of nano-precipitations were different between the two sheet sides. These nano-precipitations were found to significantly promote precipitation strengthening, and such a promotive effect was referred to as hetero-deformation induced (HDI) strengthening. Our work provides a new promising method to prepare laminated heterogeneous materials with similar alloy TRC sheets.

scholarly journals A Review on Mechanical Models for Cellular Media: Investigation on Material Characterization and Numerical Simulation

Polymers ◽  
2021 ◽  
Vol 13 (19) ◽  
pp. 3283
Author(s):  
Guoqiang Luo ◽  
Yuxuan Zhu ◽  
Ruizhi Zhang ◽  
Peng Cao ◽  
Qiwen Liu ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Numerical Simulation ◽  
Impact Resistance ◽  
Constitutive Models ◽  
Economic Loss ◽  
Constitutive Relationship ◽  
Cell Models ◽  
Mechanical Models ◽  
Mechanical Properties Characterization ◽  
Buffer Structure

Cellular media materials are used for automobiles, aircrafts, energy-efficient buildings, transportation, and other fields due to their light weight, designability, and good impact resistance. To devise a buffer structure reasonably and avoid resource and economic loss, it is necessary to completely comprehend the constitutive relationship of the buffer structure. This paper introduces the progress on research of the mechanical properties characterization, constitutive equations, and numerical simulation of porous structures. Currently, various methods can be used to construct cellular media mechanical models including simplified phenomenological constitutive models, homogenization algorithm models, single cell models, and multi-cell models. This paper reviews current key mechanical models for cellular media, attempting to track their evolution from their inception to their latest development. These models are categorized in terms of their mechanical modeling methods. This paper focuses on the importance of constitutive relationships and microstructure models in studying mechanical properties and optimizing structural design. The key issues concerning this topic and future directions for research are also discussed.

A Survey of Models of Ultraslow Diffusion in Heterogeneous Materials

2019 ◽  
Vol 71 (4) ◽  
Author(s):  
Yingjie Liang ◽  
Shuhong Wang ◽  
Wen Chen ◽  
Zhifang Zhou ◽  
Richard L. Magin
Keyword(s):  
Process Model ◽  
Heterogeneous Media ◽  
Heterogeneous Materials ◽  
Aging Effect ◽  
Macroscopic Models ◽  
Ergodic Properties ◽  
Velocity Autocorrelation ◽  
Mechanical Models ◽  
Many Body Systems ◽  
Distributed Order

Ultraslow diffusion is characterized by a logarithmic growth of the mean squared displacement (MSD) as a function of time. It occurs in complex arrangements of molecules, microbes, and many-body systems. This paper reviews mechanical models for ultraslow diffusion in heterogeneous media from both macroscopic and microscopic perspectives. Macroscopic models are typically formulated in terms of a diffusion equation that employs noninteger order derivatives (distributed order, structural, and comb models (CM)) or employs a diffusion coefficient that is a function of space or time. Microscopic models are usually based on the continuous time random walk (CTRW) theory, but use a weighted logarithmic function as the limiting formula of the waiting time density. The similarities and differences between these models are analyzed and compared with each other. The corresponding MSD in each case is tabulated and discussed from the perspectives of the underlying assumptions and of real-world applications in heterogeneous materials. It is noted that the CMs can be considered as a type of two-dimensional distributed order fractional derivative model (DFDM), and that the structural derivative models (SDMs) generalize the DFDMs. The heterogeneous diffusion process model (HDPM) with time-dependent diffusivity can be rewritten to a local structural derivative diffusion model mathematically. The ergodic properties, aging effect, and velocity autocorrelation for the ultraslow diffusion models are also briefly discussed.

On mechanical models for tendon: addendum and corrigendum

1981 ◽  
Vol 211 (1184) ◽  
pp. 391-392 ◽  
Keyword(s):  
Mechanical Properties ◽  
Deformation Behaviour ◽  
Mechanical Deformation ◽  
Load Bearing ◽  
Mechanical Models ◽  
Tail Tendon ◽  
Bearing Structure ◽  
Published Paper ◽  
Rat Tail ◽  
Western Reserve

The purpose of this note is to comment on some models for the mechanical properties of tendon and to draw attention to a misprint in an earlier paper, Diamant et al , (1972), to which we were contributors. In the study published in 1972 we and our coauthors at Case Western Reserve University, Cleveland, Ohio, presented optical and mechanical evidence for a planar zig-zag model of the basic load-bearing structure in rat-tail tendon interpreting the mechanical deformation by the theory of the extensible elastica. Because of an unfortunate misprint in the published paper, the validity of the elastica model has been called into question, and other theories explaining the load deformation behaviour of tendon have been proposed (Lanir 1978; Comninou & Yannas 1976).

scholarly journals Mechanics of Microfilaments Networks: A Cross-Scales Study

2014 ◽  
Vol 553 ◽  
pp. 310-315
Author(s):  
Tong Li ◽  
Yuan Tong Gu ◽  
Bao Cheng Zhang
Keyword(s):  
Mechanical Properties ◽  
Molecular Mechanisms ◽  
Mechanical Stability ◽  
Dynamics Simulation ◽  
Coarse Grained ◽  
Cellular Structures ◽  
Modelling Framework ◽  
Simulation Strategy ◽  
Mechanical Models ◽  
Mechanical Behaviours

The mechanical properties of microfilament networks are systematically summarized at different special scales in this paper. We have presented the mechanical models of single microfilaments and microfilament networks at microscale. By adopting a coarse-grained simulation strategy, the mechanical stability of microfilaments related cellular structures are analysed. Structural analysis is conducted to microfilament networks to understand the stress relaxation under compression. The nanoscale molecular mechanisms of the microfilaments deformation is also summarized from the viewpoint of molecular dynamics simulation. This paper provides the fundaments of multiscale modelling framework for the mechanical behaviours simulation of hierarchical microfilament networks.

Micromechanical Modeling of Heterogeneous Materials with Irregularly Shaped Pores

2011 ◽  
Vol 488-489 ◽  
pp. 327-330
Author(s):  
Igor Tsukrov ◽  
Borys Drach
Keyword(s):  
Mechanical Properties ◽  
Numerical Analysis ◽  
Heterogeneous Materials ◽  
Micromechanical Modeling ◽  
Pore Geometry ◽  
Irregular Shapes ◽  
Mechanical Properties Of Materials ◽  
Properties Of Materials ◽  
Compliance Contribution Tensor

An approach to predict the overall mechanical properties of materials containing pores of irregular shapes is described. Micromechanical modeling is performed by evaluating cavity compliance contribution tensors of individual pores [1] which are then used as an input for well-developed homogenization models. The cavity compliance contribution tensor can be found either analytically or numerically depending on the pore geometry and the level of anisotropy of the surrounding material. The results of numerical analysis can be used to compare the ability of differently shaped pores to initiate fracture.

Sign in / Sign up

Export Citation Format

Share Document