6 papers
Multiscale analysis and lifetime prediction of adhesive lap joints in contact with aggressive environments
M. P. Ariza, M. Ortiz
We formulate a multiscale model of adhesive layers undergoing impurity-dependent cohesive fracture. The model contemplates three scales: i) at the atomic scale, fracture is control…
Homogenized Models of Mechanical Metamaterials
J. Ulloa, M. P. Ariza, J. E. Andrade +1
Direct numerical simulations of mechanical metamaterials are prohibitively expensive due to the separation of scales between the lattice and the macrostructural size. Hence, multis…
Thermalized and mixed meanfield ADP potentials for magnesium hydrides
M. Molinos, M. Ortiz, M. P. Ariza
We develop meanfield approximation and numerical quadrature schemes for the evaluation of Angular-Dependent interatomic Potentials (ADPs) for magnesium and magnesium hydrides at fi…
Fracture and size effect in mechanical metamaterials
J. Ulloa, M. P. Ariza, J. E. Andrade +1
We resort to variational methods to evaluate the asymptotic behavior of fine metamaterials as a function of cell size. To zeroth order, the metamaterial behaves as a micropolar con…
A discrete dislocation analysis of size-dependent plasticity in torsion
A. Cruzado, M. P. Ariza, A. Needleman +2
A method for solving three dimensional discrete dislocation plasticity boundary-value problems using a monopole representation of the dislocations is presented. At each time step,…
Homogenization and continuum limit of mechanical metamaterials
M. P. Ariza, S. Conti, M. Ortiz
When used in bulk applications, mechanical metamaterials set forth a multiscale problem with many orders of magnitude in scale separation between the micro and macro scales. Howeve…