Modelling EM Heating of Porous Media with Lattice Element Method

2018 ◽  
pp. 315-322
Author(s):  
Henok Hailemariam ◽  
Frank Wuttke
Keyword(s):  
Porous Media ◽  
Lattice Element ◽  
Lattice Element Method ◽  
Element Method

scholarly journals Effective Potentials and Elastic Properties in the Lattice-Element Method: Isotropy and Transverse Isotropy

2017 ◽  
Vol 7 (3) ◽  
pp. 04017007 ◽  
Author(s):  
Hadrien Laubie ◽  
Siavash Monfared ◽  
Farhang Radjaï ◽  
Roland Pellenq ◽  
Franz-Josef Ulm
Keyword(s):  
Elastic Properties ◽  
Transverse Isotropy ◽  
Effective Potentials ◽  
Lattice Element ◽  
Lattice Element Method ◽  
Element Method

Numerical modelling of effective thermal conductivity for modified geomaterial using lattice element method

2017 ◽  
Vol 54 (2) ◽  
pp. 483-499 ◽  
Author(s):  
Zarghaam Haider Rizvi ◽  
Dinesh Shrestha ◽  
Amir S. Sattari ◽  
Frank Wuttke
Keyword(s):  
Thermal Conductivity ◽  
Numerical Modelling ◽  
Effective Thermal Conductivity ◽  
Lattice Element ◽  
Lattice Element Method ◽  
Element Method

Microstructural dimension involved in the damage of concrete-like materials: An examination by the lattice element method

2021 ◽  
pp. 105678952110451
Author(s):  
Huu Phuoc Bui ◽  
Vincent Richefeu ◽  
Frédéric Dufour
Keyword(s):  
Fracture Process ◽  
Fracture Process Zone ◽  
Mechanical Response ◽  
Process Zone ◽  
Structural Parameter ◽  
Local Approach ◽  
Internal Length ◽  
Lattice Element ◽  
Lattice Element Method ◽  
Element Method

With the lattice element method, it is required to introduce a length via, for example, a non-local approach in order to satisfy the objectivity of the mechanical response. In spite of this, the mesoscale structuring of inclusions within a matrix conveys the natural origin of the internal length for a fixed mesh. In other words, internal length is not explicitly provided to the model, but rather governed by the characteristics of the meso-structure itself. This study examines the influence that the meso-structure of quasi-brittle materials, like concretes, have on the width of the fracture process zone and thus the fracture energy. The size of the fracture process zone is assumed to correlate with a microstructural dimension of the quasi-brittle material. If a weakness is introduced by a notch, the involvement of the ligament size (a structural parameter) is also investigated. These analyses provide recommendations and warnings that could be beneficial when extracting, from material meso-structures, a required internal length for nonlocal damage models. Among the observations made, the study suggests that the property that best characterise a meso-structure length would be the spacing between inclusions rather than the size of the inclusions themselves. It is also shown that microstructural dimension and the width of the fracture process zone have comparable order of magnitude, and they trend similarly with respect to microstructural sizes such as the inclusion interdistances.

Effective Physical Parameter Evaluation of Shallow Crustal Rocks by Lattice Element Method

2019 ◽  
Vol 18 ◽  
pp. 132-142 ◽  
Author(s):  
Zarghaam H. Rizvi ◽  
Mohammad Arsalan Khan ◽  
Frank Wuttke ◽  
Jamal Ahmad
Keyword(s):  
Physical Parameter ◽  
Crustal Rocks ◽  
Parameter Evaluation ◽  
Lattice Element ◽  
Lattice Element Method ◽  
Element Method

scholarly journals The Dynamic Lattice Method - Vibrations and Wave Propagation in Discontinuous and Heterogeneous Media

2021 ◽  
Author(s):  
Amir Shoarian Sattari ◽  
Zarghaam H. Rizvi ◽  
Hendrawan D. B. Aji ◽  
Frank Wuttke
Keyword(s):  
Wave Propagation ◽  
Crack Initiation ◽  
Heterogeneous Media ◽  
Crack Opening ◽  
Crack Initiation And Propagation ◽  
Lattice Method ◽  
Lattice Element ◽  
Initiation And Propagation ◽  
Lattice Element Method ◽  
Element Method

Abstract The development of a new dynamic lattice element method (dynamicLEM) as well as its application in the simulation of wave propagation in discontinuous and heterogeneous media is the focus of this research paper. The conventional static lattice models are efficient numerical methods to simulate crack initiation and propagation in cemented geomaterials. The advantage of the LEM and the developed dynamic solution, such as simulation of arbitrary crack initiation and propagation, illustration and simulation of existing inherent material heterogeneity as well as stress redistribution upon crack opening, opens a new engineering field and tool for material analysis. To realize the time dependency of the dynamic LEM, the governing Newton's second law is solved while using the Newmark-β method and implementing the non-linear Newton-Raphson Jacobian. The method validation is done according to the results of a boundary element method (BEM) in the plane P-SV-wave propagation within a plane strain domain. Further validation tests comparing the generated wave types, simulation and study of crack discontinuities as well as inherent heterogeneities in the geomaterials are conducted to illustrate the accurate applicability of the new dynamic lattice method. The results indicate that with increasing heterogeneity within the material, the wave field becomes significantly scattered and further analysis of wave fields according to the wavelength/heterogeneity ratio become indispensable. Therefore, in a heterogeneous medium, the application of continuum methods in relation to structural health monitoring should be precisely investigated and improved. The developed dynamic lattice element method is an ideal simulation tool to consider particle scale irregularities, crack distributions and inherent material heterogeneities and can be easily implemented in various engineering applications.

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