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Michael Ortiz

Researcher at California Institute of Technology

Publications -  489
Citations -  34601

Michael Ortiz is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Finite element method & Dislocation. The author has an hindex of 87, co-authored 467 publications receiving 31582 citations. Previous affiliations of Michael Ortiz include Complutense University of Madrid & University of Seville.

Papers
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Journal ArticleDOI

A theory of anharmonic lattice statics for analysis of defective crystals

TL;DR: In this paper, a theory of anharmonic lattice statics for the analysis of defective complex lattices is developed, which does not rely on harmonic and homogenous force constants.
Journal ArticleDOI

Investigation of the influence of viscoelasticity on oncotripsy

TL;DR: This work derives viscoelastic target frequencies from Rayleigh damping and simulates the fully nonlinear transient response of healthy and cancerous cells at resonance to confirm the viability of oncotripsy with vis coelastic material behavior of cell constituents accounted for.
Book ChapterDOI

Convergent meshfree approximation schemes of arbitrary order and smoothness

TL;DR: A generalization of the Local Max-Ent approximation schemes that are consistent to arbitrary order, i.e., interpolate polynomials of arbitrary degree exactly, and which converge in the Sobolev space, referred to as High Order Local Maximum-Entropy Approximation Schemes (HOLMES).
Journal ArticleDOI

Oncotripsy: Targeting cancer cells selectively via resonant harmonic excitation

TL;DR: The fully nonlinear analysis confirms that cancerous cells can be selectively taken to lysis by the application of carefully tuned ultrasound harmonic excitation while simultaneously leaving healthy cells intact.
Journal ArticleDOI

A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity

TL;DR: In this paper, a simple one-parameter macroscopic model of distributed damage and fracture of polymers is proposed, which is amenable to a straightforward and efficient numerical implementation.