This is an interesting question. Joyce may not have intended the word "invade" to suggest a military action but rather to suggest a hostile incursion by a sinister force which concealed all kinds of potential dangers. Eveline may feel that the evening is invading her avenue because its arrival means that she will be shut inside her home for the night. A girl her age, and especially a girl who has no spending money and who appears to be without friends of either sex, could hardly go out by herself at night. So in this sense the evening is a threatening invasion warning her to lock the doors and remain inside under the dubious protection of an abusive father.
Her head was leaned against the window curtains and in her nostrils was the odour of dusty cretonne.
The smell of the dusty lace curtain suggests the feeling of suffocation she feels from being confined to this cheerless home and to her monotonous existence.