Public reporting burden for this 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 An overview of the virtual crack closure technique is presented. The approach used is discussed, the history summarized, and insight i n to its applications provided. Equations for two-dimensional quadrilateral elements with linear and quadratic shape functions are given. Formulae for applying the technique in conjuction with threedimensional solid elements as well as plate shell elements are also provided. Necessary modi cations for the use of the method with geometrically nonlinear nite element analysis and corrections required for elements at the crack tip with di erent lengths and widths are discussed. The problems associated with cracks or delaminations propagating between di erent materials are mentioned brie y, a s w ell as a strategy to minimize these problems. Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certi cation, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials. • TECHNICAL MEMORANDUM. Scientific and technical findings that are preliminary or of specialized interest, e.g., quick release reports, working papers, and bibliographies that contain minimal annotation. Does not contain extensive analysis.• CONTRACTOR REPORT. Scientific and technical findings by NASA-sponsored contractors and grantees.• CONFERENCE PUBLICATIONS. Collected papers from scientific and technical conferences, symposia, seminars, or other meetings sponsored or cosponsored by NASA.• SPECIAL PUBLICATION. Scientific, technical, or historical information from NASA programs, projects, and missions, often concerned with subjects having substantial public interest.• TECHNICAL TRANSLATION. Englishlanguage translations of foreign scientific and technical material pertinent to NASA's mission. propagating between different materials are mentioned briefly, as well as a strategy to minimize these problems.Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certification, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials.