An Efficient Continuum Damage Model and its Application to Shear Deformable Laminated Plates

Robbins, D. H.; Reddy, J. N.; Rostam-Abadi, Farzad

doi:10.1080/15376490500259202

Cited by 22 publications

(21 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a complete description of the damage model development and its numerical implementation, the reader is referred to Robbins et al [31].…”

Section: Materials Non-linearity-continuum Damage Mechanicsmentioning

confidence: 99%

“…Finally, J 11 , J 22 , J 33 , and 0 are material constants that control the damage resistance characteristics of the material. To facilitate their implementation into displacement-based finite element models, the damage evolution equations are expressed in strain-based form where increments in the damage eigenvalues are expressed in terms of imposed strain increments via invoking the principle of maximum dissipation [31]. The resulting damage evolution equations can be expressed in matrix form as follows:…”

Section: Materials Non-linearity-continuum Damage Mechanicsmentioning

confidence: 99%

“…Material stiffness reduction can be expressed in terms of the damage eigenvalues by invoking various strain energy equivalence principles [31]. The resulting 3-D damaged constitutive matrix can be expressed (using contracted notation) as follows:…”

Section: Materials Non-linearity-continuum Damage Mechanicsmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive superposition of finite element meshes in non‐linear transient solid mechanics problems

Yue

Robbins²

2007

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

SUMMARYAn s-adaptive finite element procedure is developed for the transient analysis of 2-D solid mechanics problems with material non-linearity due to progressive damage. The resulting adaptive method simultaneously estimates and controls both the spatial error and temporal error within user-specified tolerances. The spatial error is quantified by the Zienkiewicz-Zhu error estimator and computed via superconvergent patch recovery, while the estimation of temporal error is based on the assumption of a linearly varying third-order time derivatives of the displacement field in conjunction with direct numerical time integration. The distinguishing characteristic of the s-adaptive procedure is the use of finite element mesh superposition (s-refinement) to provide spatial adaptivity. Mesh superposition proves to be particularly advantageous in computationally demanding non-linear transient problems since it is faster, simpler and more efficient than traditional h-refinement schemes. Numerical examples are provided to demonstrate the performance characteristics of the s-adaptive method for quasi-static and transient problems with material non-linearity.

show abstract

“…For a complete description of the damage model development and its numerical implementation, the reader is referred to Robbins et al [31].…”

Section: Materials Non-linearity-continuum Damage Mechanicsmentioning

confidence: 99%

Section: Materials Non-linearity-continuum Damage Mechanicsmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive superposition of finite element meshes in non‐linear transient solid mechanics problems

Yue

Robbins²

2007

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…For completeness sake, the development of the 3-D damage model is fully described in this paper and shares many similarities with the developments found in Barbero and De Vivo (2001) and Lee et al (1985). The numerical implementation of this particular damage model is described in detail by Robbins et al (2005) and Robbins and Reddy (2006).…”

Section: Objectives and Methodsmentioning

confidence: 99%

“…Lonetti et al (2003) used the triaxial damage model in conjunction with 3-D finite elements that each span the entire thickness of the laminate thus encompassing all of the material layers in a single element. Robbins et al (2005) discussed the numerical treatment of 3-D continuum damage mechanics within the context of a macroscopic finite element model based on the first order shear deformation theory of laminates. The authors studied the effect of various modeling parameters on predicted damage evolution and global failure.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Progressive Damage in the Adhesive Bond Layers of Actuated Plates

Robbins¹,

Chopra

2007

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

Public reporting burden for the 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. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. AbstractThis report discusses finite element modeling of progressive damage in the adhesive bond layers of actuated plates and investigates the reduction in actuation capacity caused by the damaged bond layers. The primary challenge posed by this class of problems stems from the vast range of geometric scales that are represented, with the thickness of the adhesive layer representing the smallest scale, the overall thickness of the actuated plate representing the intermediate scale and the in-plane dimensions of the plate representing the largest scale. In multiscale problems, the overall efficiency of the numerical methodology is of paramo unt importance, thus model development is guided by the need to obtain a sufficiently accurate solution at an acceptable computational expense. In this study, this goal is achieved by through the use of a hierarchical, displacement-based, 2-D finite eleme nt model that includes the first-order shear deformation model (FSD), type-I layerwise models (LW1) and type-II layerwise models (LW2) as special cases. Both the LW1 layerwise model and the more familiar FSD model use a reduced constitutive matrix that is based on the assumption of zero transverse normal stress; however, the LW1 model includes discrete layer transverse shear effects via in-plane displacement components that are C 0 continuous with respect to the thickness coordinate. The LW2 layerwise model utilizes a full 3-D constitutive matrix and includes both discrete layer transverse shear effects and discrete layer transverse normal effects by expanding all three displacement components as C 0 continuous functions of the thickness coordinate. The hierarchical finite element model incorporates a 3-D continuum damage mechanics model that predicts local orthotropic damage evolution and local stiffness reduction at the geometric scale represented by the individual material ply or, in the case of layerwise models, by the individual numerical layer. The results clearly demonstrate that the resulting model can efficiently simulate progressive damage in the adhesive layers. For rectangular actuator patches, the adhesive damage is highest near the corners of the actuator and is driven primarily by local concentrations...

show abstract

Failure Analysis of Composite Cylindrical Shells Using Continuum Damage Mechanics

Kintada

Singh

2018

Lecture Notes in Civil Engineering

View full text Add to dashboard Cite

An Efficient Continuum Damage Model and its Application to Shear Deformable Laminated Plates

Cited by 22 publications

References 21 publications

Adaptive superposition of finite element meshes in non‐linear transient solid mechanics problems

Adaptive superposition of finite element meshes in non‐linear transient solid mechanics problems

Modeling of Progressive Damage in the Adhesive Bond Layers of Actuated Plates

Failure Analysis of Composite Cylindrical Shells Using Continuum Damage Mechanics

Contact Info

Product

Resources

About