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Published February 2021 | Submitted
Journal Article Open

Linear one-dimensional site response analysis in the presence of stiffness-less free surface for certain power-law heterogeneities


We revisit previous results in small-strain One-dimensional Site Response Analysis of heterogeneous soil deposits. Specifically, we focus on sites whose shear modulus distribution is described by means of a power law that yields zero stiffness at the free surface. First, we show that in some cases (which we characterize in detail) considerations of energy finitude should prevail over considerations of vanishing tractions at the free-surface, as these may pose acuter constrains. We re-evaluate previous contributions in light of this result. Second, we analyze the previously-reported occurrence of "energy accumulation in upper layers", providing a physical explanation for it. In passing, we supply estimates of the natural frequencies, and compare these with our previous results.

Additional Information

© 2020 Elsevier Ltd. Received 20 August 2020, Revised 8 October 2020, Accepted 29 November 2020, Available online 22 December 2020. CRediT authorship contribution statement: Joaquin Garcia-Suarez: Conceptualization, Formal analysis, Writing - original draft, Validation. Elnaz Seylabi: Supervision, Writing - review & editing. Domniki Asimaki: Supervision, Writing - review & editing. The authors declare no conflict of interests.

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August 22, 2023
October 23, 2023