On the constitutive relations of materials with evolving microstructure due to microcracking

Caiazzo, Anthony A.; Costanzo, Francesco

doi:10.1016/s0020-7683(99)00150-x

Cited by 22 publications

(13 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Besides, many researchers have generated 3D unidirectional fibers in 3D RVEs domains. However, for the case of composites containing fibers, the identification of an RVE directly relates to the woven fibers (Ivanov and Tabiei, 2001;Quek et al, 2004), and also fibers in laminates configuration (repeatable architecture composites) (Caiazzo and Costanzo, 2000).…”

Section: Representative Volume Element For Microstructurementioning

confidence: 99%

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Tehrani¹

2013

View full text Add to dashboard Cite

The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Lightweight advanced materials are critical in the manufacturing of many Army vehicles. Recently, numerical tools have been utilized to customize experiments to achieve optimized behavior of micro/nano polymer composites (MNPCs). Most numerical studies are based on characterizing the MNPCs through simple microstructures, as circular particles or straight fibers embedded in a specific polymer matrix. Although these geometries are effective in virtually modeling some types of composite material behavior, they fail to address some critical key Names of Under Graduate students supportedPERCENT_SUPPORTED NAME FTE Equivalent:Total Number:The number of undergraduates funded by this agreement who graduated during this period with a degree in science, mathematics, engineering, or technology fields:The number of undergraduates funded by your agreement who graduated during this period and will continue to pursue a graduate or Ph.D. degree in science, mathematics, engineering, or technology fields:Number of graduating undergraduates who achieved a 3.5 GPA to 4.0 (4.0 max scale): Number of graduating undergraduates funded by a DoD funded Center of Excellence grant for Education, Research and Engineering:The number of undergraduates funded by your agreement who graduated during this period and intend to work for the Department of DefenseThe number of undergraduates funded by your agreement who graduated during this period and will receive scholarships or fellowships for further studies in science, mathematics, engineering or technology fields: Student Metrics This section only applies to graduating undergraduates supported by this agreement in this reporting periodThe number of undergraduates funded by this agreement who graduated during this period: 0.00 ...... Names of Personnel receiving masters degrees Inventions (DD882) Scientific ProgressBecause the mechanical responses of polymers and many types of polymer composites are in the large deformation range, the Eulerian or Lagrangian concept is required for measuring the stress and strain. On the other hand, developing a large deformation based constitutive model requires a number of considerations, and should be performed from a thermodynamics point of view to study the motion of each component of the material. Even though such approach is precise and physically sound, it is limited to just one type of material. Furthermore, polymers show high dependency to the rate and time of the applied load; hence, employing viscoelastic, viscoplastic and viscodamage models is necessary. To address these issues, a consistent framework is developed to generalize elastic/viscoelastic and plastic/viscoplastic models from small strain to the large deformation range. The developed continuum based app...

show abstract

Section: Representative Volume Element For Microstructurementioning

confidence: 99%

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Tehrani¹

2013

View full text Add to dashboard Cite

show abstract

“…Other approaches to computing the effective constitutive properties of elastic composites with cracks have been proposed in references [42,[47][48][49][50], from which most works consider stationary cracks or holes, as opposed to evolving internal boundaries. Zocher et al [51] extended the model presented in [50] to viscoelastic laminates with stationary matrix cracks.…”

Section: Computation Of Incremental Homogenized Quantities For Viscoementioning

confidence: 99%

Multiscale modeling of impact on heterogeneous viscoelastic solids containing evolving microcracks

Souza

Allen

2009

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYMultiscale computational techniques play a major role in solving problems related to viscoelastic composites due to the complexities inherent to these materials. In this paper, a numerical procedure for multiscale modeling of impact on heterogeneous viscoelastic solids containing evolving microcracks is proposed in which the (global scale) homogenized viscoelastic incremental constitutive equations have the same form as the local-scale viscoelastic incremental constitutive equations, but the homogenized tangent constitutive tensor and the homogenized incremental history-dependent stress tensor at the global scale depend on the amount of damage accumulated at the local scale. Furthermore, the developed technique allows the computation of the full anisotropic incremental constitutive tensor of viscoelastic solids containing evolving cracks (and other kinds of heterogeneities) by solving the micromechanical problem only once at each material point and each time step. The procedure is basically developed by relating the local-scale displacement field to the global-scale strain tensor and using first-order homogenization techniques. The finite element formulation is developed and some example problems are presented in order to verify the approach and demonstrate the model capabilities.

show abstract

“…Nos modelos multi-escala, entretanto, não se procura determinar as propriedades homogeneizadas. Nesses modelos, a análise global (escala macro) é realizada através de métodos comuns, mas sempre que há necessidade de se obter informações com relação ao comportamento constitutivo do material, um problema de valor de contorno micromecânico deve ser resolvido explicitamente (Caiazzo e Costanzo, 2000).…”

Section: Modelos Multi-escalaunclassified

“…A Figura 1 mostra uma representação esquemática de uma análise em duas escalas. Para o caso de a análise global ser realizada através do MEF, uma análise micromecânica correspondente deve ser realizada para cada ponto de integração pré-selecionado da malha de elementos finitos (Caiazzo e Costanzo, 2000;Feyel e Chaboche, 2000).…”

Section: Modelos Multi-escalaunclassified

Simulação do comportamento mecânico de misturas asfálticas usando um modelo computacional multi-escala

Souza¹,

Soares²

2005

TRANSPORTES

View full text Add to dashboard Cite

RESUMO: As misturas asfálticas, por serem materiais heterogêneos, possuem comportamento global dependente do comportamento dos constituintes individuais, de suas frações volumétricas e das interações físico-químicas entre os constituintes, dentre outros fatores. Deste modo, para que se possa compreender melhor o comportamento desses materiais, é necessário o uso de metodologias capazes de considerar as características e fenômenos ocorrentes nas escalas menores. Uma metodologia que vem sendo bastante estudada e aplicada na comunidade científica internacional são os chamados modelos multi-escala. O objetivo do presente trabalho é descrever um modelo computacional multi-escala e aplicá-lo à simulação de ensaios comumente usados em misturas asfálticas, quais sejam, os ensaios de compressão diametral e de fadiga por flexão em viga. Para o caso de compressão diametral, os resultados numéricos se mostraram em concordância com os resultados observados experimentalmente. Para o caso de carregamento cíclico, não foi feita uma comparação com experimentos, mas os resultados numéricos mostram a capacidade do modelo em simular qualitativamente os fenômenos de trincamento por fadiga e acúmulo de deformações permanentes.ABSTRACT: Given that asphalt mixtures are composite materials, their behavior is fundamentally determined by the local behavior of their constituents, their volume fraction and their physical-chemical interactions. Thus, in order to better understand the mechanical response of asphalt mixtures, it is necessary the use of methodologies that accurately consider the characteristics and phenomena that occur in smaller scales. A methodology that has been very studied and applied by the international scientific community is the so-called multi-scale modeling. The aim of the present paper is to describe and apply a computational multi-scale model to the numerical simulation of commonly used tests, such as the indirect tension test (Brazilian test) and the fatigue beam test. From the simulations of the indirect tension test, it was observed that the numerical results are in agreement with the experimental ones. In the case of cyclic loading, no experiments were performed, but the numerical results show that the model may qualitatively simulate both fatigue cracking and accumulation of permanent deformations. INTRODUÇÃOO uso de materiais compósitos, ou seja, materiais formados a partir da combinação de dois ou mais constituintes individuais, em aplicações estruturais tem crescido de forma significativa nos últimos anos, destacando-se as aplicações nos diversos ramos das engenharias aeroespacial, biomédica, civil e mecânica. Esse uso crescente deve-se ao fato de que os materiais compósitos podem oferecer características estruturais ótimas para determinadas aplicações que seus constituintes não podem oferecer individualmente.Além disso, observa-se uma preocupação crescente em se minimizar o passivo ambiental provocado por certos materiais aparentemente inservíveis, os quais podem ser aproveitados como constituintes dos mat...

show abstract

On the constitutive relations of materials with evolving microstructure due to microcracking

Cited by 22 publications

References 32 publications

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Multiscale modeling of impact on heterogeneous viscoelastic solids containing evolving microcracks

Simulação do comportamento mecânico de misturas asfálticas usando um modelo computacional multi-escala

Contact Info

Product

Resources

About