On strong discontinuities in anelastic solids. A finite element approach taking a frame indifferent gradient of the discontinuous displacements

Celigoj, Christian

doi:10.1002/1097-0207(20001030)49:6<769::aid-nme977>3.0.co;2-f

Cited by 3 publications

(2 citation statements)

References 9 publications

(13 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…During the last years, the Strong Discontinuity Approach (SDA) has appeared as a promising tool to model material failure in quasi brittle materials [1][2][3][4][5][6][7][8]. As an specific branch, the Continuum Strong Discontinuity Approach (CSDA) offers some additional features already presented in a number of works [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…the algorithmic constitutive operator, consistent with the integration scheme in the variational problem, is termed the effective algorithmic operator, interesting properties of the effective operator are displayed next for the continuum damage and the elasto-plastic models. a) Isotropic Continuum Damage model.According to the evolution equations(5) and (like variable r is a non-decreasing function of the pseudo-time t (seeFigure 5). This makes it quite suitable for extrapolations at relatively low error.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach

Oliver

Huespe

Blanco

et al. 2006

Computer Methods in Applied Mechanics and Engineering

110

View full text Add to dashboard Cite

Robustness and stability of the Continuum Strong Discontinuity Approach (CSDA) to material failure are addressed. After identification of lack of symmetry of the finite element formulation and material softening in the constitutive model as possible causes of loss of robustness, two remedies are proposed: 1) a symmetric version of the elementary enriched finite element with embedded discontinuities, and 2) an implicit-explicit integration of the internal variable, in the constitutive model, that renders the tangent constitutive algorithmic operator positive definite and constant. The combination of both developments leads to finite element formulations with constant and non-singular tangent structural stiffness, these allowing dramatic improvements in terms of robustness and computational costs. After assessing the convergence properties of the new strategies, three-dimensional numerical simulations of failure problems illustrate the performance of the proposed procedures.

show abstract

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach

Oliver

Huespe

Blanco

et al. 2006

Computer Methods in Applied Mechanics and Engineering

110

View full text Add to dashboard Cite

show abstract

A study on finite elements for capturing strong discontinuities

Oliver

Huespe

Samaniego

2003

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThe work focuses on the presently existing families of ÿnite elements with embedded discontinuities and explores the possibilities of obtaining symmetric statically consistent ÿnite elements that alleviate the stress-locking problem. For this purpose, mixed (reduced integration) and assumed enhanced strain techniques are applied to the basic symmetric four-noded element. Numerical simulations show the e ectiveness of the proposed measures.

show abstract

Material and geometrical nonlinearities FEM and BEM analyses

Mackerle

2002

Finite Elements in Analysis and Design

View full text Add to dashboard Cite

On strong discontinuities in anelastic solids. A finite element approach taking a frame indifferent gradient of the discontinuous displacements

Cited by 3 publications

References 9 publications

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach

A study on finite elements for capturing strong discontinuities

Material and geometrical nonlinearities FEM and BEM analyses

Contact Info

Product

Resources

About