THE SPLITTING METHOD AND THE GFEMIN THE TWO-DIMENSIONAL ANALYSIS OF LINEAR ELASTIC DOMAINS WITH MULTIPLE CRACKS
Keywords:SPLITTING METHOD, GENERALIZED FINITE ELEMENT METHOD, FRACTURE MECHANICS
AbstractTHE AIM OF THIS PAPER IS TO ANALYSE TWO-DIMENSIONAL LINEAR ELASTIC CONTINUUM CONTAINING MULTIPLE INTERACTING CRACKS. BOTH THE MECHANI-CAL MODEL AND THE NUMERICAL APPROACH ARE ADDRESSED THROUGHOUT THE TEXT AS KEY CONCEPTS FOR THE COMPUTATIONAL FRAMEWORK, WHOSE MAIN CHARACTERISTICS WILL BE DESCRIBED. THE SPLITTING METHOD IS A DECOMPO-SITION METHOD CONSIDERED FOR MECHANICAL MODELING OF MULTIPLE INTER-ACTING CRACKS. ACCORDINGLY, THE ORIGINAL PROBLEM IS DIVIDED INTO A SET OF GLOBAL AND LOCAL SUB-PROBLEMS. THE GENERALIZED FINITE ELEMENT METHOD (GFEM) IS ADOPTED AIMING AT FINDING ACCURATE NUMERICAL SOLUTIONS FOR LOCAL SUB-PROBLEMS. SUCH PROBLEMS ARE CONCEIVED SO AS TO CONSIDER THE STRESS CONCENTRATION AND THE EFFECTS OF INTERACTION ON THE CRACKS. THE MAIN FINDINGS ARE RELATED TO THE EFFECTIVENESS OF THE PROPOSED COMBINATION BETWEEN THE SPLITTING METHOD AND THE GFEM TO PROVIDE ACCURATE RESULTS, AS WELL AS THE VERSATILITY OF THE CONCEIVED COMPUTATIONAL FRAMEWORK FOR ANALYZING DIFFERENT SCENARIOS, INCLUDING CRACKS OF MULTILINEAR SHAPES AND MIXED MODE FRACTURES.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).